PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024)
The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024} are developed. The cardinality of sets of S-...
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| Format: | Article |
| Language: | English |
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Belarusian National Technical University
2016-01-01
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| Series: | Sistemnyj Analiz i Prikladnaâ Informatika |
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| Online Access: | https://sapi.bntu.by/jour/article/view/80 |
| _version_ | 1797873725873324032 |
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| author | A. V. Sokolov |
| author_facet | A. V. Sokolov |
| author_sort | A. V. Sokolov |
| collection | DOAJ |
| description | The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024} are developed. The cardinality of sets of S-boxes are JGF(512) = 1.104×1018 and JGF(1024) = 1.01×1019 which allows to use them as a long-term key to upgrade existing block of symmetric cryptographic algorithms and for development of new ones. |
| first_indexed | 2024-04-10T01:20:46Z |
| format | Article |
| id | doaj.art-8db7bc80fb2a429aae90b721bb0de495 |
| institution | Directory Open Access Journal |
| issn | 2309-4923 2414-0481 |
| language | English |
| last_indexed | 2024-04-10T01:20:46Z |
| publishDate | 2016-01-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Sistemnyj Analiz i Prikladnaâ Informatika |
| spelling | doaj.art-8db7bc80fb2a429aae90b721bb0de4952023-03-13T09:47:40ZengBelarusian National Technical UniversitySistemnyj Analiz i Prikladnaâ Informatika2309-49232414-04812016-01-0104556073PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024)A. V. Sokolov0Одесский национальный политехнический университетThe full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024} are developed. The cardinality of sets of S-boxes are JGF(512) = 1.104×1018 and JGF(1024) = 1.01×1019 which allows to use them as a long-term key to upgrade existing block of symmetric cryptographic algorithms and for development of new ones.https://sapi.bntu.by/jour/article/view/80млрп, поле галуа, s-блок подстановки, автоморфизм, изоморфизмmlrp, galois field, s-box, automorphism, isomorphism |
| spellingShingle | A. V. Sokolov PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) Sistemnyj Analiz i Prikladnaâ Informatika млрп, поле галуа, s-блок подстановки, автоморфизм, изоморфизм mlrp, galois field, s-box, automorphism, isomorphism |
| title | PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) |
| title_full | PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) |
| title_fullStr | PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) |
| title_full_unstemmed | PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) |
| title_short | PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024) |
| title_sort | processor oriented nonlinear transform based on the full classes of isomorphic and automorphic representations of galois fields gf 512 and gf 1024 |
| topic | млрп, поле галуа, s-блок подстановки, автоморфизм, изоморфизм mlrp, galois field, s-box, automorphism, isomorphism |
| url | https://sapi.bntu.by/jour/article/view/80 |
| work_keys_str_mv | AT avsokolov processororientednonlineartransformbasedonthefullclassesofisomorphicandautomorphicrepresentationsofgaloisfieldsgf512andgf1024 |