Linear codes using skew polynomials with automorphisms and derivations-Reference-Cited by-同舟云学术

Linear codes using skew polynomials with automorphisms and derivations

Published:2012-06-12 Issue:3 Volume:70 Page:405-431
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Boucher D.,Ulmer F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/s10623-012-9704-4.pdf

Reference17 articles.

1. Berger T.: Isometries for rank distance and permutation group of Gabidulin codes. IEEE Trans. Inf. Theory 49(11), 3016–3019 (2003)

2. Boucher D., Ulmer F.: Coding with skew polynomial rings. J. Symb. Comput. 44, 1644–1656 (2009)

3. Boucher D., Ulmer F.: Codes as modules over skew polynomial rings. In: Proceedings of the 12th IMA Conference on Cryptography and Coding, Cirencester. Lecture Notes in Computer Science, vol. 5921, pp. 38–55 (2009).

4. Boucher D., Geiselmann W., Ulmer F.: Skew cyclic codes. applied algebra in engineering. Commun. Comput. 18(4), 379–389 (2007)

5. Bronstein M., Petkovshek M.: Ore rings, linear operators and factorization. Rossiĭ skaya Akademiya Nauk. Programmirovanie 1, 27–44 (1994)

Cited by 64 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A quasi-optimal lower bound for skew polynomial multiplication;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

2. The associative algebra of derivations of a group algebra;Journal of Algebra and Its Applications;2024-06-06

3. Structure of $${\mathbb {F}}_q{\mathcal {R}}$$-linear $$(\varTheta ,\varDelta _\varTheta )$$-cyclic codes;Computational and Applied Mathematics;2024-04

4. Skew-polynomial-sparse matrix multiplication;Journal of Symbolic Computation;2024-03

5. Skew cyclic codes over Z₄;COMMUN COMB OPTIM;2024