Groups and noncommutative algebra: interactions and applications
Valuation theory of group rings and homology of soluble groups
| Full text | |
| Author(s): |
Shah, Tariq
;
Jahangir, Saira
;
de Andrade, Antonio Aparecido
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 36, n. 2, p. 15-pg., 2017-06-01. |
| Abstract | |
Substitution boxes (S-boxes) are the fundamental mechanisms in symmetric key cryptosystems. These S-boxes guarantee that the cryptosystem is cryptographically secure and make them nonlinear. The S-boxes used in conventional and modern cryptography are mostly constructed over finite Galois field extensions of binary Field F-2 . We have presented a novel construction scheme of S-boxes which is based on the elements of subgroups of multiplicative groups of units of the commutative finite chain rings of type F-2[u]/< u(k)> , where 2 <= k <= 8 . Majority logic criterion (MLC) is applied on the apprehended S-boxes owing to, checked their strength. (AU) | |
| FAPESP's process: | 13/25977-7 - Security and reliability of Information: theory and practice |
| Grantee: | Marcelo Firer |
| Support Opportunities: | Research Projects - Thematic Grants |