QUATERNARY DELSARTE-GOETHALS AND GOETHALS-DELSARTE CODES  

作　　者：CUIJie WANZhexian 

机构地区：[1]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China [2]AcademyofMathematicsandSystemsScience,ChineseAcademySciences,Beijing100080,China DepartmentofInfor

出　　处：《Journal of Systems Science & Complexity》2002年第1期43-51,共9页系统科学与复杂性学报（英文版）

摘　　要：In this paper, the quaternary Delsarte-Goethals code D(m,δ) and its dual code G(m,δ) are discussed. The type and the trace representation are given for D(m,δ), while the type and the minimum Lee weight are determined for G(m,δ). The shortened codes of D(m,δ) and G(m,δ) are proved to be 4-cyclic. The binary image of D(m,δ) is proved to be the binary Delsarte-Goethals code DG(m+1,δ),and the essential difference between the binary image of G(m,δ) and the binary Goethals-Delsarte codeGD(m+1,δ) is exhibited. Finally, the decoding algorithms of D■(m,δ) and G(m,δ) are discussed.

关 键 词：Quaternary Delsarte-Goethals code quaternaryGoethals-Delsarte code. 

分 类 号：O153.3[理学—数学] TP301.6[理学—基础数学]