Several classes of new weakly regular bent functions outside $$\mathcal{R}\mathcal{F}$$, their duals and some related (minimal) codes with few weights-Reference-Cited by-同舟云学术

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Several classes of new weakly regular bent functions outside $$\mathcal{R}\mathcal{F}$$, their duals and some related (minimal) codes with few weights

Published:2023-03-07 Issue:6 Volume:91 Page:2273-2307
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Du Xiaoni,Jin Wengang,Mesnager Sihem^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s10623-023-01198-5.pdf

Reference58 articles.

1. Alfarano G., Borello M., Neri A.: A geometric characterization of minimal codes and their asymptotic performance. Adv. Math. Commun. 16(1), 115–133 (2022).

2. Anbar N., Meidl W.: Bent partitions. Des. Codes Cryptogr. 90, 1081–1101 (2022).

3. Ashikhmin A., Barg A.: Minimal vectors in linear codes. IEEE Trans. Inf. Theory 44(5), 2010–2017 (1998).

4. Budaghyan L., Carlet C., Helleseth T., Kholosha A.: Generalized bent functions and their relation to Maiorana-McFarland class. In: Proceedings IEEE Int. Symp. on Inform. Theory, pp. 1212–1215 (2012).

5. Calderbank A., Goethals J.: Three-weight codes and association schemes. Philips J. Res. 39(4–5), 143–152 (1984).

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