Abstract：In this paper, the theory of Hamilton array codes for high dimension and big Hamming distance is proposed. The model of logical topology structure for d- 2k-l,d=2k(k >3) types and the existence topology condition for general high order SM array codes are analyzed. The construction principle and the synthesis algorithm of SM array codes for d=2k- 1 and d=2k(k >3) high dimension and high order are discussed. Finally, the distinction between the two models and the example design are given. The result provides a new direction for a class of new type array ciphers research.
林柏钢. 高维大码距Hamilton阵列编码理论与综合算法[J]. 电子与信息学报, 2003, 25(7): 907-917 .
Lin Bogang. The theory of hamilton array codes for high dimension and big hamming distance and the synthesis algorithm. , 2003, 25(7): 907-917 .
2003, Vol. 25 
