Rank weights for arbitrary finite field extensions

2019/02/02 by Grégory Berhuy, Berhuy, Grégory, Fasel, Jean +2 · 1 citation
Computer Science · Mathematics · #94A15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1902.00733

openalex publication_date 2019/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known results for extensions of finite fields.

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