Short Linear Incremental Redundancy Codes Having Optimal Weight Structure Profile

Kurzfassung

Variable redundancy coding is a technique to achieve high performance for data transmission over time-varying channels. In this correspondence a set of binary block codes with incremental redundancy is developed using a combination of a constructive method and a computer search. Generator matrices of thirteen codes with information word lengths of 4 to 16 and with code rates as low as 1/4 or 1/3, respectively, are given. For two codes the minimum distance is compared to the minimum distance of the best known linear block codes with the same parameters. The results indicate that the best minimum distance for a given code length and rate is often achieved by the incremental redundancy codes. Therefore, these codes can provide high throughput in adaptive error control systems over a wide range of channel conditions.