The covering radius of the Reed–Muller code RM(2,7) is 40

Author:

Wang Qichun

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference28 articles.

1. Weight distributions of the cosets of the (32, 6) Reed-Muller code;Berlekamp;IEEE Trans. Inform. Theory,1972

2. On the covering radii of binary Reed–Muller codes in the set of resilient Boolean functions;Borissov;IEEE Trans. Inform. Theory,2005

3. C. Carlet, The complexity of Boolean functions from cryptographic viewpoint, 2006. Available: http://drops.dagstuhl.de/opus/volltexte/2006/604/pdf/06111CarletClaude.Paper.604pdf.

4. Boolean Functions for Cryptography and Error Correcting Codes;Carlet,2010

5. Improving the upper bounds on the covering radii of binary Reed–Muller codes;Carlet;IEEE Trans. Inform. Theory,2007

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1. Classification of some cosets of the Reed-Muller code;Cryptography and Communications;2023-06-20

2. The Covering Radius of the Third-Order Reed-Muller Code RM(3,7) is 20;IEEE Transactions on Information Theory;2023-06

3. Covering radius of $ RM(4,8) $;Advances in Mathematics of Communications;2023

4. On metric regularity of Reed–Muller codes;Designs, Codes and Cryptography;2020-10-29

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