An algorithm for constructing S-boxes for block symmetric encryption
This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box created, with the algebraic immunity 3 (441)...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2018-03-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/438704 |
| _version_ | 1797350210476703744 |
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| author | Alijon Bozorbayevicha Sattarov Bakhtiyor Fayzievich Abdurahimov |
| author_facet | Alijon Bozorbayevicha Sattarov Bakhtiyor Fayzievich Abdurahimov |
| author_sort | Alijon Bozorbayevicha Sattarov |
| collection | DOAJ |
| description | This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box created, with the algebraic immunity 3 (441) and nonlinearity 104. The algorithm given in this article can be used for oscillation of $S(8\times 8)$)-boxes with the increased resistance to algebraic, linear, differential and linear and differential methods of a cryptanalysis, for block symmetric algorithms of encryption. |
| first_indexed | 2024-03-08T12:41:24Z |
| format | Article |
| id | doaj.art-81a108733d8847b9a227bb1e6de91ab6 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T12:41:24Z |
| publishDate | 2018-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-81a108733d8847b9a227bb1e6de91ab62024-01-21T10:26:56ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532018-03-0111293210.32323/ujma.3931551225An algorithm for constructing S-boxes for block symmetric encryptionAlijon Bozorbayevicha SattarovBakhtiyor Fayzievich AbdurahimovThis article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box created, with the algebraic immunity 3 (441) and nonlinearity 104. The algorithm given in this article can be used for oscillation of $S(8\times 8)$)-boxes with the increased resistance to algebraic, linear, differential and linear and differential methods of a cryptanalysis, for block symmetric algorithms of encryption.https://dergipark.org.tr/tr/download/article-file/438704s-boxalgebraic cryptanalysisalgebraic immunitynonlinearity |
| spellingShingle | Alijon Bozorbayevicha Sattarov Bakhtiyor Fayzievich Abdurahimov An algorithm for constructing S-boxes for block symmetric encryption Universal Journal of Mathematics and Applications s-box algebraic cryptanalysis algebraic immunity nonlinearity |
| title | An algorithm for constructing S-boxes for block symmetric encryption |
| title_full | An algorithm for constructing S-boxes for block symmetric encryption |
| title_fullStr | An algorithm for constructing S-boxes for block symmetric encryption |
| title_full_unstemmed | An algorithm for constructing S-boxes for block symmetric encryption |
| title_short | An algorithm for constructing S-boxes for block symmetric encryption |
| title_sort | algorithm for constructing s boxes for block symmetric encryption |
| topic | s-box algebraic cryptanalysis algebraic immunity nonlinearity |
| url | https://dergipark.org.tr/tr/download/article-file/438704 |
| work_keys_str_mv | AT alijonbozorbayevichasattarov analgorithmforconstructingsboxesforblocksymmetricencryption AT bakhtiyorfayzievichabdurahimov analgorithmforconstructingsboxesforblocksymmetricencryption AT alijonbozorbayevichasattarov algorithmforconstructingsboxesforblocksymmetricencryption AT bakhtiyorfayzievichabdurahimov algorithmforconstructingsboxesforblocksymmetricencryption |