MacWilliams duality for rank metric codes over finite chain rings

Iván Blanco-Chacón; Alberto F. Boix; Marcus Greferath; Erik Hieta-Aho

doi:10.1016/j.ffa.2025.102584

MacWilliams duality for rank metric codes over finite chain rings

Iván Blanco-Chacón, Alberto F. Boix, Marcus Greferath, Erik Hieta-Aho

Research output: Contribution to journal › Article › peer-review

Abstract

We extend Ravagnani's MacWilliams duality theory to the setting of rank metric codes over finite chain rings, relating the sequences of q-binomial moments of a rank metric code over this class of rings with those of its dual.

Original language	English
Article number	102584
Journal	Finite Fields and their Applications
Volume	103
DOIs	https://doi.org/10.1016/j.ffa.2025.102584
State	Published - 1 Mar 2025
Externally published	Yes

Keywords

Binomial moments
MacWilliams identity
Rank metric code

ASJC Scopus subject areas

Theoretical Computer Science
Algebra and Number Theory
General Engineering
Applied Mathematics

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10.1016/j.ffa.2025.102584

Cite this

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title = "MacWilliams duality for rank metric codes over finite chain rings",

abstract = "We extend Ravagnani's MacWilliams duality theory to the setting of rank metric codes over finite chain rings, relating the sequences of q-binomial moments of a rank metric code over this class of rings with those of its dual.",

keywords = "Binomial moments, MacWilliams identity, Rank metric code",

author = "Iv{\'a}n Blanco-Chac{\'o}n and Boix, \{Alberto F.\} and Marcus Greferath and Erik Hieta-Aho",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2025",

month = mar,

day = "1",

doi = "10.1016/j.ffa.2025.102584",

language = "English",

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T1 - MacWilliams duality for rank metric codes over finite chain rings

AU - Blanco-Chacón, Iván

AU - Boix, Alberto F.

AU - Greferath, Marcus

AU - Hieta-Aho, Erik

PY - 2025/3/1

Y1 - 2025/3/1

N2 - We extend Ravagnani's MacWilliams duality theory to the setting of rank metric codes over finite chain rings, relating the sequences of q-binomial moments of a rank metric code over this class of rings with those of its dual.

AB - We extend Ravagnani's MacWilliams duality theory to the setting of rank metric codes over finite chain rings, relating the sequences of q-binomial moments of a rank metric code over this class of rings with those of its dual.

KW - Binomial moments

KW - MacWilliams identity

KW - Rank metric code

UR - https://www.scopus.com/pages/publications/85215825702

U2 - 10.1016/j.ffa.2025.102584

DO - 10.1016/j.ffa.2025.102584

M3 - Article

AN - SCOPUS:85215825702

SN - 1071-5797

VL - 103

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

M1 - 102584

ER -

MacWilliams duality for rank metric codes over finite chain rings

Abstract

Keywords

ASJC Scopus subject areas

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