• 대한수학회논문집
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• 제11권3호
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• pp.575-584
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• 1996

We investigate how the code automorphism groups can be used to study such combinatorial objects as codes, finite projective planes and Hadamard matrices. For this purpose, we write down a computer program for computing code automorphisms in PASCAL language. Then we study the combinatorial properties using those code automorphism group algorithms and the relationship between combinatorial objects and codes.

• Korean Journal of Mathematics
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• 제17권4호
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• pp.487-493
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• 2009

We study the group structure of the automorphism group of the ternary self-dual tetracode of length 4.

• 대한수학회논문집
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• 제27권4호
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• pp.653-664
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• 2012

We study the abstract structure of the automorphism group of the ternary self-dual code of length 8 and give its convenient presentation by generators.

• 대한수학회지
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• 제46권1호
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• pp.13-30
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• 2009

A subset of n tuples of elements of ${\mathbb{Z}}_9$ is said to be a code over ${\mathbb{Z}}_9$ if it is a ${\mathbb{Z}}_9$-module. In this paper we consider an special family of cyclic codes over ${\mathbb{Z}}_9$, 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.

• Korean Journal of Mathematics
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• 제22권4호
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• pp.725-742
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• 2014

In this paper, we find all inequivalent classes of self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ for all primes p, using similar method as in [3]. We find that the classification of self-orthogonal codes over $Z_{p^2}$ includes the classification of all codes over $Z_p$. Consequently, we classify all the codes over $Z_p$ and self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ according to the automorphism group of each code.