논문KCI 등재
The mass formula of self-orthogonal codes over $GF(q)$
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초록
There exists already mass formula which is the number of self orthogonal codes in $GF(q)^n$, but not proof of it. In this paper we described some theories about finite geometry and by using them proved the mass formula when $q=p^m$, $p$ is odd prime.
Abstract
There exists already mass formula which is the number of self orthogonal codes in $GF(q)^n$, but not proof of it. In this paper we described some theories about finite geometry and by using them proved the mass formula when $q=p^m$, $p$ is odd prime.
참고문헌 (8)
- V.S. Pless, "The number of isotropic subspace in a nite geometry", Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, 39, pp.418~421 (1965)
- V.S. Pless, "On the uniqueness of the Golay codes", J. Combin. Theory, 5, pp.215~228 (1968)
- Simeon Ball, "An Introduction to Finite Geometry" (2011)
- "Simeon Ball Finite Geometry and Combinatorial Applications" (2015), Cambridge Uni-versity Press
- R.A.L. Betty, "Mass formula for self-orthogonal codes over Zp2", J.Combin.Inform.System sci.
- J.M.P. Balmaceda, "Mass formula for self-dual codes over Zp2", Discrete Math, 308, pp.2984~3002 (2008)
- Y.H. Park, "The classi cation of self-dual modular codes", Finite Fields and Their Applications, 17(5), pp.442~460 (2011)
- W. Cary Hu man, "Fundamentals of error correcting codes" (2003), Cam-bridge University Pless
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