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초록· 키워드
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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.
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참고문헌 (8)
참고문헌 신청
V.S. Pless / 1965 / The number of isotropic subspace in a nite geometry / Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei 39:418~421
V.S. Pless / 1968 / On the uniqueness of the Golay codes / J. Combin. Theory 5:215~228
Simeon Ball / 2011 / An Introduction to Finite Geometry
2015 / Simeon Ball Finite Geometry and Combinatorial Applications / Cambridge Uni-versity Press
R.A.L. Betty / Mass formula for self-orthogonal codes over Zp2 / J.Combin.Inform.System sci.
V.S. Pless / 1968 / On the uniqueness of the Golay codes / J. Combin. Theory 5:215~228
Simeon Ball / 2011 / An Introduction to Finite Geometry
2015 / Simeon Ball Finite Geometry and Combinatorial Applications / Cambridge Uni-versity Press
R.A.L. Betty / Mass formula for self-orthogonal codes over Zp2 / J.Combin.Inform.System sci.
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