Three new constructions of optimal linear codes with few weights-Reference-Cited by-同舟云学术

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Three new constructions of optimal linear codes with few weights

Published:2023-10 Issue:7 Volume:42 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Cheng Yingjie^ORCID,Cao Xiwang,Luo Gaojun^ORCID

Funder

National Natural Science Foundation of China

China Scholarship Counsil Scholarship Program

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-023-02472-x.pdf

Reference41 articles.

1. Ahn J, Ka D, Li C (2016) Complete weight enumerators of a class of linear codes. Des Codes Crypt 83(1):83–99. https://doi.org/10.1007/s10623-016-0205-8

2. Calderbank AR, Goethals JM (1984) Three-weight codes and association schemes. Philips J Res 39(4):143–152

3. Calderbank R, Kantor WM (1986) The geometry of two-weight codes. Bull Lond Math Soc 18(2):97–122. https://doi.org/10.1112/blms/18.2.97

4. Calderbank AR, Rains EM, Shor PM, Sloane NJA (1998) Quantum error correction via codes over GF$$(4)$$. IEEE Trans Inf Theory 44(4):1369–1387. https://doi.org/10.1109/18.681315

5. Cheng Y, Cao X (2021) Linear codes with few weights from weakly regular plateaued functions. Discret Math 344(12):112597. https://doi.org/10.1016/j.disc.2021.112597

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