The local weight distributions of the (128,50) extended binary primitive BCH code and the (128,64) Reed-Muller code

摘要

The local weight distribution of a block code gives some aspects of its error performance. We obtained the local weight distributions of the (128,k) extended binary primitive BCH codes for k ≤ 43, using the invariance property to reduce the computational complexity. In this paper, the trellis structure of a code is used to reduce the complexity more, and the local weight distributions of the (128,50) extended binary primitive BCH code and the (128,64) Reed-Muller code are computed.