Factorization of invariant polynomials under actions of projective linear groups and its applications in coding theory-Reference-Cited by-同舟云学术

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Factorization of invariant polynomials under actions of projective linear groups and its applications in coding theory

Published:2023-10-10 Issue:1 Volume:16 Page:185-207
ISSN:1936-2447
Container-title:Cryptography and Communications
language:en
Short-container-title:Cryptogr. Commun.

Author:

Li Xia,Yue Qin,Huang Daitao

Funder

Talent Research Initiation Fund Project

National Natural Science Foundation of China

Innovation Program for Quantum Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Link

https://link.springer.com/content/pdf/10.1007/s12095-023-00675-x.pdf

Reference30 articles.

1. Barreto, P.S.L.M., Lindner, R., Misoczki, R.: Monoidic codes in cryptography. In Post-Quantum Cryptography (Lecture Notes in Computer Science), vol. 7071, B. Y. Yang, Ed. Berlin, Germany: Springer-Verlag, pp. 179–199 (2011)

2. Berlekamp, E.R., Rumsey, H., Solomon, G.: On the solution of algebraic equations over finite fields. Inf. Control 10(6), 553–564 (1967)

3. Berger, T.P.: Goppa and related codes invariant under a prescribed permutation. IEEE Trans. Inf. Theory 46(7), 2628–2633 (2000)

4. Berger, T.P.: On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes. Finite Fields and Their Appl. 6(3), 255–281 (2000)

5. Blake, I.F., Gao, S., Mullin, R.C.: Normal and self-dual normal bases from factorization of $$cx^{q+1}+dx^q-ax-b$$. SIAM J. Discrete Math. 7(3), 499–512 (1994)

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