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We study self-dual codes over Galois rings using the building-up construction method. In the construction, the existence of an antiorthogonal matrix is very important. In this study, we examine the existence problem of an antiorthogonal matrix over Galois rings.
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참고문헌 (18)
참고문헌 신청
G. Bini / 2002 / Finite Commutative Rings and Their Applications / Springer US
W. Bosma / 1997 / The Magma algebra system I: The user language / J. Symbolic Comput. 24:235~265
J. H. Conway / 1980 / On the enumeration of self-dual codes / J. Combin. Theory ser. A 28:26~53
J. H. Conway / 1999 / Sphere Packings, Lattices and Groups, third ed / Springer
M. Grassl / 2009 / On circulant self-dual codes over small fields / Des. Codes Cryptogr. 52:57~81
W. Bosma / 1997 / The Magma algebra system I: The user language / J. Symbolic Comput. 24:235~265
J. H. Conway / 1980 / On the enumeration of self-dual codes / J. Combin. Theory ser. A 28:26~53
J. H. Conway / 1999 / Sphere Packings, Lattices and Groups, third ed / Springer
M. Grassl / 2009 / On circulant self-dual codes over small fields / Des. Codes Cryptogr. 52:57~81
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