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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2021; 58(5): 1163-1173

Online first article August 31, 2021      Printed September 30, 2021

https://doi.org/10.4134/BKMS.b200751

Copyright © The Korean Mathematical Society.

MacWilliams identity for linear codes over finite chain rings with respect to homogeneous weight

Mina Moeini, Rashid Rezaei, Karim Samei

Malayer University; Malayer University; Bu Ali Sina University

Abstract

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In this paper, we obtain the MacWilliams identity for linear codes over finite chain rings with respect to homogeneous weight, and the product of chain rings.

Keywords: Distribution weight, homogeneous weight, chain ring, MacWilliams identity

MSC numbers: Primary 94B05, 94B60

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