Title :
Self-dual codes over Fp and weighing matrices
Author :
Arasu, K.T. ; Gulliver, T. Aaron
Author_Institution :
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
fDate :
7/1/2001 12:00:00 AM
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
Keywords :
dual codes; linear codes; matrix algebra; codes construction; conference matrices; necessary condition; self-dual codes; weighing matrices; Error correction; Error correction codes; Galois fields; Libraries; Symmetric matrices; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
