Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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THE CLASSIFICATION OF SELF-ORTHOGONAL CODES OVER ℤp2 OF LENGTHS ≤ 3

  • Choi, Whan-Hyuk (Department of Mathematics Kangwon National University) ;
  • Kim, Kwang Ho (Department of Mathematics Kangwon National University) ;
  • Park, Sook Young (Department of Mathematics Kangwon National University)
  • Received : 2014.12.01
  • Accepted : 2014.12.10
  • Published : 2014.12.30
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Abstract

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.

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References

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Cited by

  1. MASS FORMULA OF SELF-DUAL CODES OVER GALOIS RINGS GR(p2, 2) vol.24, pp.4, 2016, https://doi.org/10.11568/kjm.2016.24.4.751