Some Nonbinary Power Residue Codes

T. Aaron Gulliver1, Vijay K. Bhargava2
1Department of Electrical and Electronic Engineering University of Canterbury Christchurch, New Zealand
2Department of Electrical and Computer Engineering University of Victoria P.O. Box 3055, MS 8610, Victoria, B.C. Canada V8W 3P6

Abstract

Nonbinary power residue codes are constructed using the relationship between these codes and quasi-cyclic codes. Eleven of these codes exceed the known lower bounds on the maximum possible minimum distance of a linear code.