Self-dual codes over Fp and weighing matrices

Authors:
K. T. Arasu;T. A. Gulliver
Affiliations:
Dept. of Math. & Stat., Wright State Univ., Dayton, OH;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

Previously, self-dual codes have been constructed from Hadamard matrices. In this correspondence, codes constructed from weighing matrices, and in particular conference matrices are presented. A necessary condition for these codes to be self-dual is given, and examples are given for lengths up to 40. Codes constructed from all weighing matrices of order n⩽13 are also considered