Title & Authors
Taeri, Bijan;

Abstract
A subset of n tuples of elements of $\small{{\mathbb{Z}}_9}$ is said to be a code over $\small{{\mathbb{Z}}_9}$ if it is a $\small{{\mathbb{Z}}_9}$-module. In this paper we consider an special family of cyclic codes over $\small{{\mathbb{Z}}_9}$, namely quadratic residue codes. We define these codes in term of their idempotent generators and show that these codes also have many good properties which are analogous in many respects to properties of quadratic residue codes over finite fields.֘�⨀ጊ礀Ѐ㔶〻Ԁ䭃䑎䷙᜖෪6㘰⸶㔻Ԁ䭃䑎䷁᜙ဳ 5㜰㬳㘳⸵㬅K䍄乍
Keywords
cyclic codes;quadratic residue codes;extended codes;automorphism group of a code;
Language
English
Cited by
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QUADRATIC RESIDUE CODES OVER p-ADIC INTEGERS AND THEIR PROJECTIONS TO INTEGERS MODULO pe,;

Korean Journal of Mathematics, 2015. vol.23. 1, pp.163-169
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LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS, Korean Journal of Mathematics, 2012, 20, 4, 525
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QUADRATIC RESIDUE CODES OVER p-ADIC INTEGERS AND THEIR PROJECTIONS TO INTEGERS MODULO pe, Korean Journal of Mathematics, 2015, 23, 1, 163
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