A Novel S-Box Design Algorithm Based on a New Compound Chaotic System
Substitution-boxes (S-Boxes) are important non-linear components in block cryptosystem, which play an important role in the security of cryptosystems. Constructing S-Boxes with a strong cryptographic feature is an important step in designing block cipher systems. In this paper, a novel algorithm for...
Saved in:
| Published in | Entropy (Basel, Switzerland) Vol. 21; no. 10; p. 1004 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Basel
MDPI AG
01.10.2019
MDPI |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1099-4300 1099-4300 |
| DOI | 10.3390/e21101004 |
Cover
| Abstract | Substitution-boxes (S-Boxes) are important non-linear components in block cryptosystem, which play an important role in the security of cryptosystems. Constructing S-Boxes with a strong cryptographic feature is an important step in designing block cipher systems. In this paper, a novel algorithm for constructing S-Boxes based on a new compound chaotic system is presented. Firstly, the new chaotic system, tent–logistic system, is proposed, which has better chaotic performance and wider chaotic range than the tent and logistic system, and can not only increase the randomness of the chaotic sequences but also expand the key space of cryptosystems. Secondly, a novel linear mapping is employed to construct the initial S-Box. Then, the permutation operation on the initial S-Box is performed by using chaotic sequence generated with the tent–logistic system, which improves the cryptographic features of the S-Box. The idea behind the proposed work is to make supplementary safe S-box. Detail tests for cryptographic strength of the proposed S-Box are performed by using different standard benchmarks. The test results and performance analysis show that our proposed S-Box has very smaller values of linear probability (LP) and differential probability (DP) and a satisfactory average value of nonlinearity compared with other S-Boxes, showing its excellent application potential in block cipher system. |
|---|---|
| AbstractList | Substitution-boxes (S-Boxes) are important non-linear components in block cryptosystem, which play an important role in the security of cryptosystems. Constructing S-Boxes with a strong cryptographic feature is an important step in designing block cipher systems. In this paper, a novel algorithm for constructing S-Boxes based on a new compound chaotic system is presented. Firstly, the new chaotic system, tent−logistic system, is proposed, which has better chaotic performance and wider chaotic range than the tent and logistic system, and can not only increase the randomness of the chaotic sequences but also expand the key space of cryptosystems. Secondly, a novel linear mapping is employed to construct the initial S-Box. Then, the permutation operation on the initial S-Box is performed by using chaotic sequence generated with the tent−logistic system, which improves the cryptographic features of the S-Box. The idea behind the proposed work is to make supplementary safe S-box. Detail tests for cryptographic strength of the proposed S-Box are performed by using different standard benchmarks. The test results and performance analysis show that our proposed S-Box has very smaller values of linear probability (LP) and differential probability (DP) and a satisfactory average value of nonlinearity compared with other S-Boxes, showing its excellent application potential in block cipher system. Substitution-boxes (S-Boxes) are important non-linear components in block cryptosystem, which play an important role in the security of cryptosystems. Constructing S-Boxes with a strong cryptographic feature is an important step in designing block cipher systems. In this paper, a novel algorithm for constructing S-Boxes based on a new compound chaotic system is presented. Firstly, the new chaotic system, tent–logistic system, is proposed, which has better chaotic performance and wider chaotic range than the tent and logistic system, and can not only increase the randomness of the chaotic sequences but also expand the key space of cryptosystems. Secondly, a novel linear mapping is employed to construct the initial S-Box. Then, the permutation operation on the initial S-Box is performed by using chaotic sequence generated with the tent–logistic system, which improves the cryptographic features of the S-Box. The idea behind the proposed work is to make supplementary safe S-box. Detail tests for cryptographic strength of the proposed S-Box are performed by using different standard benchmarks. The test results and performance analysis show that our proposed S-Box has very smaller values of linear probability (LP) and differential probability (DP) and a satisfactory average value of nonlinearity compared with other S-Boxes, showing its excellent application potential in block cipher system. |
| Author | Lu, Qing Zhu, Congxu Wang, Guojun |
| AuthorAffiliation | 2 School of Computer Science and Engineering, Central South University, Changsha 410083, China 1 Hunan Police Academy, Changsha 410138, China; hpaqlu@163.com 3 School of Computer Science, Guangzhou University, Guangzhou 510006, China |
| AuthorAffiliation_xml | – name: 2 School of Computer Science and Engineering, Central South University, Changsha 410083, China – name: 3 School of Computer Science, Guangzhou University, Guangzhou 510006, China – name: 1 Hunan Police Academy, Changsha 410138, China; hpaqlu@163.com |
| Author_xml | – sequence: 1 givenname: Qing surname: Lu fullname: Lu, Qing – sequence: 2 givenname: Congxu orcidid: 0000-0002-9662-0532 surname: Zhu fullname: Zhu, Congxu – sequence: 3 givenname: Guojun orcidid: 0000-0001-9875-4182 surname: Wang fullname: Wang, Guojun |
| BookMark | eNp9kF1LHDEUhoNYqNpe9B8EvGphaj7n46awbm0riL3Q-3AmObObZSbZJjPa_fcduyIqpVcJyXsenvMek8MQAxLygbPPUjbsDAXnjDOmDsgRZ01TKMnY4bP7W3Kc84YxIQUvj8jFgl7HO-zpTXEef9OvmP0q0EW_ismP64GeQ0ZHY6BAr_GeLuOwjVNwdLmGOHpLb3Z5xOEdedNBn_H943lCbr9d3C5_FFc_v18uF1eFVVyORWtLVymnoOWlFdKiYNK1NdSqbUQNXLcNB6us6rqqLi3AvEhpZ3PsWMuFPCGXe6yLsDHb5AdIOxPBm78PMa0MpNmqRyMEKmS2ctq2CsA1KG2jpQLHeOWEnVmf9qwpbGF3D33_BOTMPHRpnrqcw1_24e3UDugshjFB_8Lg5U_wa7OKd6bSXAmuZ8DpIyDFXxPm0WzilMLclRFa1bLSWjdz6uM-ZVPMOWH3X6WzV1nrRxh9fBDw_T8m_gChxKZE |
| CitedBy_id | crossref_primary_10_1007_s11277_022_09524_1 crossref_primary_10_1016_j_vlsi_2023_102099 crossref_primary_10_3390_sym13040671 crossref_primary_10_1016_j_jisa_2023_103444 crossref_primary_10_1109_ACCESS_2025_3537182 crossref_primary_10_1109_ACCESS_2023_3348144 crossref_primary_10_1109_ACCESS_2020_3021055 crossref_primary_10_3390_s20010083 crossref_primary_10_1109_ACCESS_2023_3298111 crossref_primary_10_1007_s13369_024_09099_y crossref_primary_10_1007_s11042_022_12268_6 crossref_primary_10_1002_cta_3242 crossref_primary_10_3390_math12010084 crossref_primary_10_1109_ACCESS_2020_2975880 crossref_primary_10_1109_ACCESS_2021_3071501 crossref_primary_10_3390_e23101312 crossref_primary_10_1049_ipr2_12525 crossref_primary_10_1109_ACCESS_2020_2970806 crossref_primary_10_1007_s11277_023_10526_w crossref_primary_10_1007_s11042_022_11928_x crossref_primary_10_3390_sym12122115 crossref_primary_10_1109_ACCESS_2023_3295909 crossref_primary_10_1109_ACCESS_2020_3001868 crossref_primary_10_3390_sci6040086 crossref_primary_10_1109_ACCESS_2020_2973679 crossref_primary_10_1007_s11042_023_14910_3 crossref_primary_10_1109_ACCESS_2023_3313180 crossref_primary_10_3390_s23031210 crossref_primary_10_3390_electronics9071168 crossref_primary_10_1007_s11277_019_06973_z crossref_primary_10_1016_j_matcom_2022_12_025 crossref_primary_10_1109_ACCESS_2021_3052161 crossref_primary_10_3390_e24121827 crossref_primary_10_1016_j_procs_2021_09_043 crossref_primary_10_3390_e27030299 crossref_primary_10_3390_e22070772 crossref_primary_10_1007_s13369_024_09251_8 crossref_primary_10_1109_ACCESS_2020_2989676 crossref_primary_10_1007_s13369_023_07715_x crossref_primary_10_1007_s11042_024_19281_x crossref_primary_10_1007_s11042_023_17906_1 crossref_primary_10_1142_S0218127422501632 crossref_primary_10_1109_ACCESS_2020_3016401 crossref_primary_10_1007_s11042_021_11635_z crossref_primary_10_3390_math9212778 crossref_primary_10_3390_sym14020269 crossref_primary_10_1007_s11042_023_17720_9 crossref_primary_10_1016_j_eij_2025_100620 crossref_primary_10_3390_e24111552 crossref_primary_10_23939_ujit2023_02_041 crossref_primary_10_3390_sym12040571 crossref_primary_10_7717_peerj_cs_940 crossref_primary_10_3390_sym16020169 crossref_primary_10_1007_s11042_020_09699_4 crossref_primary_10_1007_s11042_022_11898_0 crossref_primary_10_1109_TCE_2023_3285626 crossref_primary_10_32604_cmc_2023_036861 crossref_primary_10_3390_e22070717 crossref_primary_10_1007_s11071_024_09701_w crossref_primary_10_1016_j_optlaseng_2020_106178 crossref_primary_10_1109_ACCESS_2021_3093247 |
| Cites_doi | 10.1140/epjst/e2018-700098-x 10.1016/j.future.2018.10.053 10.1155/2018/5823230 10.1007/s11071-017-3755-z 10.3390/sym10090399 10.3390/e20110843 10.3390/app9040781 10.1016/j.physa.2016.06.012 10.7498/aps.62.010501 10.1109/CEEC.2017.8101591 10.1007/s11071-019-04802-3 10.1007/s11042-018-6953-x 10.7498/aps.61.130507 10.1007/978-3-662-04722-4_1 10.3390/app8122650 10.1007/s11071-015-2281-0 10.3390/sym11030437 10.3390/sym10070284 10.3390/e20070525 10.3390/technologies7020038 10.1016/j.ijleo.2016.11.152 10.1038/261459a0 10.1007/s11071-016-3099-0 10.3390/sym11030351 10.1109/JIOT.2018.2842470 10.1016/j.chaos.2013.11.001 10.1073/pnas.88.6.2297 10.1109/ACCESS.2018.2874336 10.1016/j.jss.2010.02.039 10.1088/1674-1056/27/8/080701 10.1007/s11071-017-3409-1 10.1007/s11042-018-6078-2 10.1016/j.sigpro.2013.10.034 10.1007/s00521-015-1887-y 10.1109/ACCESS.2018.2845468 10.3390/app8112132 10.3390/e21080790 10.1007/BF00203967 10.1007/s11042-018-6691-0 10.1088/1674-1056/22/5/050506 10.3390/e20090716 10.1007/s00500-017-2676-6 10.1007/s11071-016-3199-x 10.1007/s11071-016-3046-0 |
| ContentType | Journal Article |
| Copyright | 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 2019 by the authors. 2019 |
| Copyright_xml | – notice: 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: 2019 by the authors. 2019 |
| DBID | AAYXX CITATION 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO FR3 HCIFZ KR7 L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS 5PM ADTOC UNPAY DOA |
| DOI | 10.3390/e21101004 |
| DatabaseName | CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database SciTech Premium Collection Civil Engineering Abstracts ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection PubMed Central (Full Participant titles) Unpaywall for CDI: Periodical Content Unpaywall Directory of Open Access Journals - DOAJ (NTUSG) |
| DatabaseTitle | CrossRef Publicly Available Content Database Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Engineering Collection Civil Engineering Abstracts Engineering Database ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | Publicly Available Content Database CrossRef |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| EISSN | 1099-4300 |
| ExternalDocumentID | oai_doaj_org_article_22e4e0c7d5cb4aad9e3c9534ad017d2c 10.3390/e21101004 PMC7514215 10_3390_e21101004 |
| GroupedDBID | 29G 2WC 5GY 5VS 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ACIWK ACUHS ADBBV AEGXH AENEX AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS BCNDV BENPR BGLVJ CCPQU CITATION CS3 DU5 E3Z ESX F5P GROUPED_DOAJ GX1 HCIFZ HH5 IAO J9A KQ8 L6V M7S MODMG M~E OK1 OVT PGMZT PHGZM PHGZT PIMPY PQGLB PROAC PTHSS RNS RPM TR2 TUS XSB ~8M 7TB 8FD ABUWG AZQEC DWQXO FR3 KR7 PKEHL PQEST PQQKQ PQUKI PRINS 5PM PUEGO ADTOC C1A CH8 IPNFZ ITC RIG UNPAY |
| ID | FETCH-LOGICAL-c413t-bc6d74d4ab16c23ce203db8a84b928a15b91ac4c4ff786caa1006c099ef0b123 |
| IEDL.DBID | UNPAY |
| ISSN | 1099-4300 |
| IngestDate | Fri Oct 03 12:52:36 EDT 2025 Sun Oct 26 03:40:04 EDT 2025 Tue Sep 30 16:55:08 EDT 2025 Fri Jul 25 11:52:52 EDT 2025 Thu Oct 16 04:28:06 EDT 2025 Thu Apr 24 23:01:39 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Language | English |
| License | Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). cc-by |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c413t-bc6d74d4ab16c23ce203db8a84b928a15b91ac4c4ff786caa1006c099ef0b123 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-9875-4182 0000-0002-9662-0532 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://www.mdpi.com/1099-4300/21/10/1004/pdf |
| PQID | 2548375559 |
| PQPubID | 2032401 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_22e4e0c7d5cb4aad9e3c9534ad017d2c unpaywall_primary_10_3390_e21101004 pubmedcentral_primary_oai_pubmedcentral_nih_gov_7514215 proquest_journals_2548375559 crossref_primary_10_3390_e21101004 crossref_citationtrail_10_3390_e21101004 |
| PublicationCentury | 2000 |
| PublicationDate | 2019-10-01 |
| PublicationDateYYYYMMDD | 2019-10-01 |
| PublicationDate_xml | – month: 10 year: 2019 text: 2019-10-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Entropy (Basel, Switzerland) |
| PublicationYear | 2019 |
| Publisher | MDPI AG MDPI |
| Publisher_xml | – name: MDPI AG – name: MDPI |
| References | Zhu (ref_20) 2018; 6 Mahmood (ref_16) 2018; 2018 ref_14 (ref_35) 2019; 96 ref_11 ref_33 He (ref_40) 2018; 227 Zhang (ref_8) 2019; 94 Belazi (ref_26) 2017; 130 ref_31 He (ref_39) 2016; 461 ref_30 (ref_34) 2017; 90 ref_17 Zhang (ref_2) 2018; 27 ref_15 Lambic (ref_24) 2014; 58 Zhou (ref_38) 2014; 97 Adams (ref_12) 1990; 3 Zhang (ref_10) 2018; 22 Pincus (ref_41) 1991; 88 Zhang (ref_9) 2018; 5 Rafiq (ref_18) 2019; 78 Zhang (ref_3) 2018; 6 ref_46 ref_45 Sun (ref_32) 2013; 62 ref_44 Farwa (ref_19) 2017; 8 ref_21 Zhu (ref_22) 2018; 77 ref_42 Khan (ref_28) 2016; 27 Ahmad (ref_37) 2015; 82 ref_1 Ullah (ref_25) 2017; 88 Li (ref_43) 2010; 83 ref_27 May (ref_36) 1976; 261 Zengin (ref_13) 2017; 87 Belazi (ref_29) 2017; 87 ref_5 ref_4 ref_7 ref_6 Lambic (ref_23) 2017; 87 |
| References_xml | – volume: 227 start-page: 943 year: 2018 ident: ref_40 article-title: Fractional fuzzy entropy algorithm and the complexity analysis for nonlinear time series publication-title: Eur. Phys. J. Spec. Top. doi: 10.1140/epjst/e2018-700098-x – volume: 94 start-page: 40 year: 2019 ident: ref_8 article-title: A caching and spatial k-anonymity driven privacy enhancement scheme in continuous location-based services publication-title: Future Generat. Comput. Syst. Int. J. Esci. doi: 10.1016/j.future.2018.10.053 – volume: 2018 start-page: 1 year: 2018 ident: ref_16 article-title: To study the effect of the generating polynomial on the quality of nonlinear components in block ciphers publication-title: Secur. Commun. Netw. doi: 10.1155/2018/5823230 – volume: 90 start-page: 1661 year: 2017 ident: ref_34 article-title: Hardware implementation of pseudo-random number generators based on chaotic maps publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-3755-z – ident: ref_4 doi: 10.3390/sym10090399 – ident: ref_5 doi: 10.3390/e20110843 – ident: ref_1 doi: 10.3390/app9040781 – volume: 461 start-page: 812 year: 2016 ident: ref_39 article-title: Multivariate permutation entropy and its application for complexity analysis of chaotic systems publication-title: Phys. A Stat. Mech. Appl. doi: 10.1016/j.physa.2016.06.012 – volume: 62 start-page: 010501 year: 2013 ident: ref_32 article-title: Complexity analysis of chaotic pseudo-random sequences based on spectral entropy algorithm publication-title: Acta Physica Sinica doi: 10.7498/aps.62.010501 – ident: ref_44 doi: 10.1109/CEEC.2017.8101591 – ident: ref_11 – volume: 96 start-page: 497 year: 2019 ident: ref_35 article-title: Implementing a chaotic cryptosystem in a 64-bit embedded system by using multiple-precision arithmetic publication-title: Nonlinear Dyn. doi: 10.1007/s11071-019-04802-3 – volume: 78 start-page: 15527 year: 2019 ident: ref_18 article-title: Construction of new s-boxes based on triangle groups and its applications in copyright protection publication-title: Multimed. Tools Appl. doi: 10.1007/s11042-018-6953-x – ident: ref_31 doi: 10.7498/aps.61.130507 – ident: ref_45 doi: 10.1007/978-3-662-04722-4_1 – ident: ref_15 doi: 10.3390/app8122650 – volume: 82 start-page: 1839 year: 2015 ident: ref_37 article-title: Chaos-based diffusion for highly autocorrelated data in encryption algorithms publication-title: Nonlinear Dyn. doi: 10.1007/s11071-015-2281-0 – ident: ref_17 doi: 10.3390/sym11030437 – ident: ref_6 doi: 10.3390/sym10070284 – ident: ref_27 doi: 10.3390/e20070525 – ident: ref_46 doi: 10.3390/technologies7020038 – volume: 130 start-page: 1438 year: 2017 ident: ref_26 article-title: A simple yet efficient s-box method based on chaotic sine map publication-title: Optik doi: 10.1016/j.ijleo.2016.11.152 – volume: 261 start-page: 459 year: 1976 ident: ref_36 article-title: Simple mathematical models with very complicated dynamics publication-title: Nature doi: 10.1038/261459a0 – volume: 87 start-page: 1081 year: 2017 ident: ref_13 article-title: A novel approach for strong s-box generation algorithm design based on chaotic scaled zhongtang system publication-title: Nonlinear Dyn. doi: 10.1007/s11071-016-3099-0 – ident: ref_14 doi: 10.3390/sym11030351 – volume: 5 start-page: 4191 year: 2018 ident: ref_9 article-title: A dual privacy preserving scheme in continuous location-based services publication-title: IEEE Int. Things J. doi: 10.1109/JIOT.2018.2842470 – volume: 8 start-page: 360 year: 2017 ident: ref_19 article-title: An image encryption technique based on chaotic s-box and arnold transform publication-title: Int. J. Adv. Comput. Sci. Appl. – volume: 58 start-page: 16 year: 2014 ident: ref_24 article-title: A novel method of s-box design based on chaotic map and composition method publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2013.11.001 – volume: 88 start-page: 2297 year: 1991 ident: ref_41 article-title: Approximate entropy as a measure of system-complexity publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.88.6.2297 – volume: 6 start-page: 67095 year: 2018 ident: ref_20 article-title: A novel image compression-encryption scheme based on chaos and compression sensing publication-title: IEEE Access doi: 10.1109/ACCESS.2018.2874336 – volume: 83 start-page: 1443 year: 2010 ident: ref_43 article-title: A differential cryptanalysis of yen–chen–wu multimedia cryptography system publication-title: J. Syst. Softw. doi: 10.1016/j.jss.2010.02.039 – volume: 27 start-page: 080701 year: 2018 ident: ref_2 article-title: Efficient image encryption scheme with synchronous substitution and diffusion based on double s-boxes publication-title: Chin. Phys. B doi: 10.1088/1674-1056/27/8/080701 – volume: 88 start-page: 2757 year: 2017 ident: ref_25 article-title: A novel construction of substitution box using a combination of chaotic maps with improved chaotic range publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-3409-1 – volume: 77 start-page: 29119 year: 2018 ident: ref_22 article-title: Image encryption algorithm with an avalanche effect based on a six-dimensional discrete chaotic system publication-title: Multimed. Tools Appl. doi: 10.1007/s11042-018-6078-2 – volume: 97 start-page: 172 year: 2014 ident: ref_38 article-title: A new 1d chaotic system for image encryption publication-title: Signal Process. doi: 10.1016/j.sigpro.2013.10.034 – volume: 27 start-page: 677 year: 2016 ident: ref_28 article-title: Construction of s-box based on chaotic boolean functions and its application in image encryption publication-title: Neur. Comput. Appl. doi: 10.1007/s00521-015-1887-y – volume: 6 start-page: 31541 year: 2018 ident: ref_3 article-title: PRMS: A personalized mobile search over encrypted outsourced data publication-title: IEEE Access doi: 10.1109/ACCESS.2018.2845468 – ident: ref_30 doi: 10.3390/app8112132 – ident: ref_42 doi: 10.3390/e21080790 – volume: 3 start-page: 27 year: 1990 ident: ref_12 article-title: The structured design of cryptographically good s-boxes publication-title: J. Cryptol. doi: 10.1007/BF00203967 – ident: ref_7 doi: 10.1007/s11042-018-6691-0 – ident: ref_33 doi: 10.1088/1674-1056/22/5/050506 – ident: ref_21 doi: 10.3390/e20090716 – volume: 22 start-page: 6121 year: 2018 ident: ref_10 article-title: A trajectory privacy-preserving scheme based on query exchange in mobile social networks publication-title: Soft Comput. doi: 10.1007/s00500-017-2676-6 – volume: 87 start-page: 2407 year: 2017 ident: ref_23 article-title: A novel method of s-box design based on discrete chaotic map publication-title: Nonlinear Dyn. doi: 10.1007/s11071-016-3199-x – volume: 87 start-page: 337 year: 2017 ident: ref_29 article-title: Efficient cryptosystem approaches: S-boxes and permutation–substitution-based encryption publication-title: Nonlinear Dyn. doi: 10.1007/s11071-016-3046-0 |
| SSID | ssj0023216 |
| Score | 2.4112158 |
| Snippet | Substitution-boxes (S-Boxes) are important non-linear components in block cryptosystem, which play an important role in the security of cryptosystems.... |
| SourceID | doaj unpaywall pubmedcentral proquest crossref |
| SourceType | Open Website Open Access Repository Aggregation Database Enrichment Source Index Database |
| StartPage | 1004 |
| SubjectTerms | Algorithms approximate entropy Behavior Boolean Boxes chaos Chaos theory chaotic system Computer systems Construction Cryptography Data encryption Design Encryption Field programmable gate arrays Mapping Mathematical models Nonlinearity Permutations s-box security Sequences |
| SummonAdditionalLinks | – databaseName: Directory of Open Access Journals - DOAJ (NTUSG) dbid: DOA link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1NS8QwEA3iRS-iqFhdJagHL8U2TdP0uOsHIuhFhb2VZJK6Qm0X3fXj3ztpu8tWFC9e26FtZjKZ92D6hpBjCEwi8hB8TLTA5zLlvkRm4YMWNoRYJMDcv8M3t-LqgV8P4-HCqC_XE9bIAzeOO2XMchtAYmLQXCmT2gjSOOLK4F4yDNzpG8h0RqZaqhWxUDQ6QhGS-lPraI7TRutUn1qkv4Msv_dFrkzLsfp8V0WxUHQu18laixZpv_nKDbJky01y0ae31Zst6J0_qD7oed2DQfvFY4VEf_RMB1iYDK1KqigeYdRlvJudRM9GqsLn0EakfIvcX17cn1357TQEH7DQTHwNwiTccKVDASwCy4LIaKkk1ymTKox1GirgwPM8kQKUwvUKQABo80Bjfdomy2VV2h1CWZBaniiupZXc6FxZp4kIQaQMdxzRIyczJ2XQKoW7gRVFhozB-TOb-9Mjh3PTcSOP8ZPRwHl6buAUresLGOesjXP2V5w90pvFKWvT7DVDdosEO0ZW5JGkE7vOy7p3yqdRLaOdIFZEwOORo3mUf1_D7n-sYY-sIt5Km17AHlmevEztPmKaiT6ot-8XOEz01g priority: 102 providerName: Directory of Open Access Journals – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1Nb9QwEB2V7QEuCASIQIss4MDFauI4TnJA1W7ZqkJihaBIvUX22OkihWRpt6X994zzBUHANbESecaeeS8ZvwF4jaFNVRkhp40WcpnlkmfELDga5SJMVIrCnx3-sFInX-T7s-RsB1bDWRhfVjnExDZQ2wb9N_IDIjLEpRICwIeb79x3jfJ_V4cWGrpvrWDfthJjd2BXeGWsGewulquPn0YKFotIdfpCMZH9A-fpj9dMm2SlVrx_gjj_rJe8e1Vv9O0PXVW_JaPjB3C_R5Fs3rn9Iey4-hEs52zVXLuKfeaL5oa9a2sz2Lw6p2ls19_YghKWZU3NNKPQxnwk8D2V2NFaN_Qc1omXP4bT4-Xp0QnvuyRwpAS05QaVTaWV2kQKRYxOhLE1mc6kyUWmo8TkkUaJsizTTKHWNF-FBAxdGRrKW09gVje1ewpMhLmTqZYmc5m0ptTOayViGGsrPXcM4M1gpAJ7BXHfyKIqiEl4exajPQN4OQ7ddLIZfxu08JYeB3il6_ZCc3Fe9BunEMJJF2JqEzRSa5u7GPMkltpSLLECA9gb_FT02--y-LVYAkgnvpu8bHqn_rpu5bVTwpAEhAJ4NXr533N49v_XP4d7hLDyrvpvD2bbiyu3Tyhma170S_MnfkDx0w priority: 102 providerName: ProQuest |
| Title | A Novel S-Box Design Algorithm Based on a New Compound Chaotic System |
| URI | https://www.proquest.com/docview/2548375559 https://pubmed.ncbi.nlm.nih.gov/PMC7514215 https://www.mdpi.com/1099-4300/21/10/1004/pdf https://doaj.org/article/22e4e0c7d5cb4aad9e3c9534ad017d2c |
| UnpaywallVersion | publishedVersion |
| Volume | 21 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVFSB databaseName: Free Full-Text Journals in Chemistry customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: HH5 dateStart: 19990101 isFulltext: true titleUrlDefault: http://abc-chemistry.org/ providerName: ABC ChemistRy – providerCode: PRVAFT databaseName: Open Access Digital Library customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: KQ8 dateStart: 19990101 isFulltext: true titleUrlDefault: http://grweb.coalliance.org/oadl/oadl.html providerName: Colorado Alliance of Research Libraries – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: DOA dateStart: 20160101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVEBS databaseName: EBSCOhost Academic Search Ultimate customDbUrl: https://search.ebscohost.com/login.aspx?authtype=ip,shib&custid=s3936755&profile=ehost&defaultdb=asn eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: ABDBF dateStart: 20081201 isFulltext: true titleUrlDefault: https://search.ebscohost.com/direct.asp?db=asn providerName: EBSCOhost – providerCode: PRVFQY databaseName: GFMER Free Medical Journals customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: GX1 dateStart: 19990101 isFulltext: true titleUrlDefault: http://www.gfmer.ch/Medical_journals/Free_medical.php providerName: Geneva Foundation for Medical Education and Research – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: M~E dateStart: 19990101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVAQN databaseName: PubMed Central customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: RPM dateStart: 20180101 isFulltext: true titleUrlDefault: https://www.ncbi.nlm.nih.gov/pmc/ providerName: National Library of Medicine – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: http://www.proquest.com/pqcentral?accountid=15518 eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: BENPR dateStart: 19990301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Technology Collection customDbUrl: eissn: 1099-4300 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0023216 issn: 1099-4300 databaseCode: 8FG dateStart: 19990301 isFulltext: true titleUrlDefault: https://search.proquest.com/technologycollection1 providerName: ProQuest |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Lb9NAEB7R5ACXAgKEaYlWwIGLGz_Wr2NSklZIWBW0UjhZu7PrJqqxo9Th9euZtZ0IVyD1Ysn22N717Dw-7_hbgHfoqCjMXbTJ0Bybxwm3Y0IWNspQuxiEEXrm3-FPaXh-xT8ugkX3s_ptV1ZJUHzVOGkza2Nz33HGnks7Y8NuNl6r_ACGYUCp9wCGV-nF5Gszo9mJtuxBPkH5sTbgxlzTizkNNX8vn7xbDflwW67Frx-iKP4KNfPHkO4a2VaY3Jxsa3mCv-_wN967F0_gsEs62aQdJU_hgS6fwWzC0uq7LtgXe1r9ZB-aUg42Ka6rzapefmNTim-KVSUTjDwhM47DLMHETpeiovuwluv8OVzOZ5en53a3qIKNFK9qW2KoIq64kG6Ino_ac3wlYxFzmXixcAOZuAI58jyP4hCFoOaGSF3QuSMpzL2AQVmV-iUwz0k0jwSXsY65krnQhloRHV8obqCmBe93bz3DjnDcrHtRZAQ8jIKyvYIseLMXXbcsG_8SmhrV7QUMMXZzoNpcZ52dZZ6nuXYwUgFKLoRKtI9J4HOhyPUoDy043ik-66z1NiOQTDg9IHBlQdQbDL2H9c-Uq2XDxh1Rykl5kwVv98Pm_314dS-pI3hEeVnS1gwew6DebPVryn1qOYKDeH42guF0ll58HjVfEGh7tnBHnS38ARNKAk8 |
| linkProvider | Unpaywall |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Jb9QwFLaq9lAuCASI0AWLReISNXGcxYcKzbRTTWk7QjBIvVn2s9NBCsnQTin9cfw3nrNBEHDrNbFi5e1f8vw9Ql5BYNIkD8FHRwt8ngnuZ4gsfNCJDSFOUmDu7PDZLJl-4u_O4_M18qM7C-PaKruYWAdqU4H7Rr6HQAaxVIwF8NvlV99NjXJ_V7sRGqodrWD2a4qx9mDHib29QQh3tX98iPp-zdjRZH4w9dspAz5gAF_5GhKTcsOVDhNgEVgWREZnKuNasEyFsRahAg48z9MsAaVCNFTAwsrmgQ4d7wFmgA0ecYHYb2M8mb3_0CO-iIVJQ2cURSLYsw5tOYq2QRKsZwUMCtw_2zM3r8ulur1RRfFb7jt6QO63RSsdNVb2kKzZ8hGZjOis-mYL-tEfV9_pYd0KQkfFBUpttfhCx5gfDa1KqihGUuoCjxvhRA8WqsLn0IYr_TGZ34W4npD1sirtU0JZICxPFdeZzbjRubKOmhGCSBnuoKpH3nRCktASlru5GYVE4OLkKXt5euRFv3TZsHT8bdHYSbpf4Ii16wvV5YVs_VQyZrkNIDUxaK6UETYCEUdcGQxdhoFHtjs9ydbbr-Qv2_RIOtDdYLPhnfLzombzTrFkxbrLIy97Lf_7HZ79f_vnZHM6PzuVp8ezky1yD4s70TQebpP11eW13cECaqV3WzOlRN6xY_wEYfovFg |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELaqIgEXBAJESh8WD4lLtInjxMkBod1ul5bCCoki9WbZY6eLFJJtu6X0p_XfdZwXBAG3XhMrVsYz4-9Lxt8Q8goCI5I8BB8DLfB5mnE_RWbhg05sCHEigLmzw5_myf5X_uE4Pl4j191ZGFdW2eXEOlGbCtw38hESGeRSMQLgUd6WRXyezt4tT33XQcr9ae3aaTQucmivLpG-nb89mOJav2Zstne0u--3HQZ8wOS98jUkRnDDlQ4TYBFYFkRGpyrlOmOpCmOdhQo48DwXaQJKheikgKDK5oEOneYBZv87wom4u0Pqs_c914tYmDRCRlGUBSPreJYTZxtsf3WXgAG0_bMw895FuVRXl6ooftv1Zg_Jgxau0nHjX4_Imi0fk70xnVc_bEG_-JPqJ53WRSB0XJygjVaL73SCO6OhVUkVxRxKXcpxzZvo7kJV-BzaqKQ_IUe3YaynZL2sSvuMUBZklgvFdWpTbnSurBNlhCBShjuS6pE3nZEktFLlrmNGIZGyOHvK3p4eedEPXTb6HH8bNHGW7gc4Se36QnV2ItsIlYxZbgMQJgbNlTKZjSCLI64MJi3DwCOb3TrJNs7P5S-v9IgYrN1gsuGd8tui1vEWCFYRcXnkZb_K_36Hjf9Pv0PuYjjIjwfzw-fkPqK6rKk43CTrq7MLu4XIaaW3ax-lRN5yTNwAImsssA |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3fb9MwELage4AXBgJEYCALeODFa-I4TvLYjk0TEhUSmzSeIvvsrNVCUnXpfv31nBO3IhNIe0xySWzf-e4--fyZkM8QmlSWETCcaCETWS5YhsiCgZY2gkSmwN3e4e8zeXwqvp0lZ36z-qUvq0QovuictFu1YSIOwzGP8GLs2M3GS1M-JjsywdR7RHZOZz8mv7oVTS_aswfFCOXH1oEb984g5nTU_IN88n415JN1vVS316qq_go1R7tktmlkX2Fysb9u9T7c3eNvfHAvnpNnPumkk95KXpBHtn5JDid01lzZiv5k0-aGfu1KOeikOm9Wi3b-m04xvhna1FRR9ITUOQ53BBM9mKsGv0N7rvNX5OTo8OTgmPlDFRhgvGqZBmlSYYTSkQQeg-VhbHSmMqFznqko0XmkQIAoyzSToBQ2VwJ2wZahxjD3mozqprZvCOVhbkWqhM5sJowulXXUihDGyggHNQPyZTPqBXjCcXfuRVUg8HAKKrYKCsjHreiyZ9n4l9DUqW4r4IixuxvN6rzw86zg3AobQmoS0EIpk9sY8iQWyqDrMRwCsrdRfOFn62WBIBlxeoLgKiDpwBgGPxs-qRfzjo07xZQT86aAfNqazf_78PZBUu_IU8zL8r5mcI-M2tXavsfcp9UfvMX_ARr-_do |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Novel+S-Box+Design+Algorithm+Based+on+a+New+Compound+Chaotic+System&rft.jtitle=Entropy+%28Basel%2C+Switzerland%29&rft.au=Lu%2C+Qing&rft.au=Zhu%2C+Congxu&rft.au=Wang%2C+Guojun&rft.date=2019-10-01&rft.pub=MDPI&rft.eissn=1099-4300&rft.volume=21&rft.issue=10&rft_id=info:doi/10.3390%2Fe21101004&rft.externalDocID=PMC7514215 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1099-4300&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1099-4300&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1099-4300&client=summon |