More classes of optimal quinary cyclic codes of form $${\mathcal {C}}_{(1,e,s)}$$-Reference-Cited by-同舟云学术

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More classes of optimal quinary cyclic codes of form $${\mathcal {C}}_{(1,e,s)}$$

Published:2023-05-13 Issue: Volume: Page:
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

Liu Yan,Cao Xiwang,Zha Zhengbang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s00200-023-00604-8.pdf

Reference26 articles.

1. Carlet, C., Ding, C., Yuan, J.: Linear codes from highly nonlinear functions and their secret sharing schemes. IEEE Trans. Inf. Theory 51(6), 2089–2102 (2005)

2. Ding, C., Helleseth, T.: Optimal ternary cyclic codes from monomials. IEEE Trans. Inf. Theory 59(9), 5898–5904 (2013)

3. Fan, C., Li, N., Zhou, Z.: A class of optimal ternary cyclic codes and their duals. Finite Fields Appl. 37, 193–202 (2016)

4. Fan, J., Zhang, Y.: Optimal quinary cyclic codes with minimum distance four. Chin. J. Electron. 29(3), 515–524 (2020)

5. Fan, J., Xu, Y., Xia, Y., Zeng, X.: Two families of Niho sequences having four-valued cross correlation with m-sequences. Sci. China Math. 60(12), 2377–2390 (2017)

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1. Optimal quinary cyclic codes with three zeros;Cryptography and Communications;2024-02-17

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