Classification of some cosets of Reed-Muller codes
Val\'erie Gillot, Philippe Langevin
TL;DR
This paper introduces a descending method to classify quotients of Reed-Muller codes of length 128 under affine general linear group actions, advancing understanding of their structure.
Contribution
The paper presents a novel descending classification method specifically for quotients of Reed-Muller codes of length 128.
Findings
Successful classification of certain Reed-Muller code quotients
Enhanced understanding of affine group actions on these codes
Potential applications in coding theory and cryptography
Abstract
This note presents a descending method that allows us to classify quotients of Reed-Muller codes of lenghth 128 under the action of the affine general linear group.
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Taxonomy
TopicsCoding theory and cryptography · Cooperative Communication and Network Coding · graph theory and CDMA systems