On the Quaternary Projection of Binary Linear Block Codes

M. Esmaeili1, T.A. Gulliver2
1Department of Mathematical Sciences Isfahan University of Technology Isfahan, Iran
2Dept. of Electrical and Computer Engineering University of Victoria P.O. Box 3055, STN CSC Victoria, B.C., V8W 3P6 Canada

Abstract

The projection of binary linear block codes of length \(4m\) on \(\mathbb{F}_4^m\) is considered. Three types of projections, namely projections \(SE\), \(E\), and \(O\) are introduced. The BCH codes, Golay codes, Reed-Muller codes, and the quadratic residue code \(q_{32}\) are examined.