BURST ERROR-CORRECTING 2(K)-ARY CYCLIC AN CODES GENERATED BY NATURAL NUMBER A(1)CENTER-DOT-P

Cyclic AN codes are considered to be suitable for error detection and error correction in arithmetic operations. Cyclic AN codes using radix 2(k) representation are called 2(k)-ary cyclic AN codes. This paper i s concerned with 2(k)-ary cyclic AN codes for burst error correction. After describing the structure of these codes and arithmetic burst err ors, the smallest code generator A(1) that provides a 2(k)-ary cyclic AN code with the burst error correcting ability b is presented. We als o suggest burst error correcting 2(k)-ary cyclic AN codes generated by A(1) . p. Furthermore, error-trapping decoding for 2(k)-ary cyclic AN codes is shown.