On the Construction of Involutory MDS Matrices over $$\mathbb{F}_{2^{m}}$$-Reference-Cited by-同舟云学术

On the Construction of Involutory MDS Matrices over $$\mathbb{F}_{2^{m}}$$

Published:2019-12-25 Issue:3 Volume:33 Page:836-848
ISSN:1009-6124
Container-title:Journal of Systems Science and Complexity
language:en
Short-container-title:J Syst Sci Complex

Author:

Bai Jian,Sun Yao,Wang Dingkang

Publisher

Springer Science and Business Media LLC

Subject

Information Systems,Computer Science (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s11424-019-8125-0.pdf

Reference15 articles.

1. Shannon C E, Communication theory of secrecy systems, The Bell System Technical Journal, 1949, 28(4): 656–715.

2. Sajadieh M, Dakhilalian M, Mala H, et al., On construction of involutory MDS matrices from Vandermonde matrices in GF(2q), Des. Codes Cryptography, 2012, 64(3): 287–308.

3. Gupta K C and Ray I G, On constructions of involutory MDS matrices, Progress in Cryptology — AFRICACRYPT 2013, Eds. by Youssef M, Nitaj A, and Hassanien A E, Cairo, 2013.

4. Nakahara J and Abrahão E, A new involutory MDS matrix for the AES, International Journal of Network Security, 2009, 9(2): 109–116.

5. Gupta K C and Ray I G, On constructions of circulant MDS matrices for lightweight cryptography, ISPEC 2014, Eds. by Huang X and Zhou J, Fuzhou, China, 2014.

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1. Generating key-dependent involutory MDS matrices through permutations, direct exponentiation, and scalar multiplication;International Journal of Information and Computer Security;2024

2. On the Construction of $$4 \times 4$$ Lightweight Involutory MDS Matrices Over $$\mathbb {F}_{2^{8}}$$;Proceedings of the Seventh International Conference on Mathematics and Computing;2022

3. A construction of MDS involutory matrices using MDS self-dual codes: a preliminary result;Journal of Physics: Conference Series;2021-01-01