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

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › 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
Issue number	102584
DOIs	https://doi.org/10.1016/j.ffa.2025.102584
Publication status	Published - Mar 2025
MoE publication type	A1 Journal article-refereed

Keywords

Rank metric code
Binomial moments
MacWilliams identity

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10.1016/j.ffa.2025.102584

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@article{316e0f1aa52b4d4dbe7bcd0977feb6a6,

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

abstract = "We extend Ravagnani{\textquoteright}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 = "Rank metric code, Binomial moments, MacWilliams identity",

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

year = "2025",

month = mar,

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

language = "English",

volume = "103",

journal = "Finite Fields and Their Applications",

issn = "1071-5797",

publisher = "Academic Press",

number = "102584",

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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

Y1 - 2025/3

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 - Rank metric code

KW - Binomial moments

KW - MacWilliams identity

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U2 - 10.1016/j.ffa.2025.102584

DO - 10.1016/j.ffa.2025.102584

M3 - Article

SN - 1071-5797

VL - 103

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

IS - 102584

M1 - 102584

ER -

MacWilliams duality for rank metric codes over finite chain rings

Abstract

Keywords

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