Improvements to the Bounds on Optimal Binary Linear Codes of Dimensions \(11\) and \(12\)

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

Abstract

Eight new codes are presented which improve the bounds on maximum minimum distance for binary linear codes. They are rate \(\frac{m-r}{pm},r\geq 1\) , \(r\)-degenerate quasi-cyclic codes.