Abstract
AbstractCyclic an codes are considered to be suitable for error detection and error correction in arithmetic operations. Cyclic an codes using radix 2k representation are called 2k‐ary cyclic an codes. This paper is concerned with 2k‐ary cyclic an codes for burst error correction. After describing the structure of these codes and arithmetic burst errors, the smallest code generator A1 that provides a 2k‐ary cyclic an code with the burst error correcting ability b is presented. We also suggest burst error correcting 2k‐ary cyclic an codes generated by A1.p. Furthermore, error‐trapping decoding for 2k‐ary cyclic an codes is shown.
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