2k-ary cyclic AN codes for burst error correction

Cyclic AN codes are considered to be suitable for error detection and error correction in arithmetic operations. Cyclic AN codes using radix 2^k expressions are called 2^k-ary cyclic AN codes. The paper is concerned with 2^k-ary cyclic AN codes for burst error correction. After describing the structure of these codes and arithmetic burst errors, we present some necessary conditions for 2 ^k-ary cyclic AN codes to have any burst error correcting ability and describe the relation between the burst error correcting ability of the binary cyclic AN code and that of the 2^k-ary cyclic AN code