Covering radius of RM(4,8)

2023/05/04 by Valérie Gillot, Gillot, Valérie, Philippe Langevin +1 · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2305.03493

openalex publication_date 2023/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose an effective version of the lift by derivation, an invariant that allows us to provide the classification of B(5,6,8)=RM(6, 8)/RM(4,8). The main consequence is to establish that the covering radius of the Reed-Muller RM(4,8) is equal to 26.

Cited by

• On covering radius of generalized Zetterberg codes

Related

• The Covering Radius of the Reed--Muller Code RM(2,7) is 40
• The Covering Radius of the Reed-Muller Code RM(m-4,m) in RM(m-3,m)
• On the Covering Radius of the Second Order Reed-Muller Code of Length 128
• The covering radius of PGL₂(q)
• On the covering radius of first order generalized Reed-Muller codes