• 제목/요약/키워드: automorphism group of a code

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Code automorphism group algorithms and applications

  • Cho, Han-Hyuk;Shin, Hye-Sun;Yeo, Tae-Kyung
    • 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.

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QUADRATIC RESIDUE CODES OVER ℤ9

  • Taeri, Bijan
    • 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.