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Bull. Korean Math. Soc. 2022; 59(2): 265-276

Online first article March 8, 2022      Printed March 31, 2022

https://doi.org/10.4134/BKMS.b200214

Copyright © The Korean Mathematical Society.

Duadic codes over finite local rings

Arezoo Soufi Karbaski, Karim Samei

Bu Ali Sina University; Bu Ali Sina University

Abstract

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In this paper, we introduce duadic codes over finite local rings and concentrate on quadratic residue codes. We study their properties and give the comprehensive method for the computing the unique idempotent generator of quadratic residue codes.

Keywords: Finite local ring, duadic code, quadratic residue code

MSC numbers: 94B05, 94B15, 11T71

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