On the dual of quaternary Goethals codes and their weight hierarchies  

作　　者：崔杰 万哲先 

出　　处：《Science China Mathematics》2002年第11期1361-1371,共11页中国科学：数学（英文版）

摘　　要：Some properties such as type, trace description, symmetrized weight enumerator, and generalizedHamming weights of the dual of quaternary Goethals codes are discussed. Furthermore, the shortened codesof quaternary Goethals codes and their dual codes are proved to be cyclic.Some properties such as type, trace description, symmetrized weight enumerator, and generalized Hamming weights of the dual of quaternary Goethals codes are discussed. Furthermore, the shortened codes of quaternary Goethals codes and their dual codes are proved to be cyclic.

关 键 词：QUATERNARY Goethals code  symmetrized WEIGHT enumerator  GENERALIZED Hamming weights. 

分 类 号：O157.4[理学—数学]