THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (2): 277-282.

THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

崔杰, 裴君莹

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China School of Science, Xidian University, Xi’an 710071, China

出版日期:2002-04-15 发布日期:2002-04-15

THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

CUI Jie, FEI Jun-Ying

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China School of Science, Xidian University, Xi’an 710071, China

Online:2002-04-15 Published:2002-04-15

摘要/Abstract

摘要：

The 2-adic representations of codewords of the dual of quaternary Goethals code are given. By the 2-adic representations, the binary image of the dual of quaternary Goethals code under the Gray map is proved to be the nonlinear code constructed by Goethals in 1976.

关键词: Quaternary Goethals code, Gray map

Abstract:

Key words: Quaternary Goethals code, Gray map

中图分类号:

94A60

崔杰, 裴君莹. THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE[J]. 数学物理学报(英文版), 2002, 22(2): 277-282.

CUI Jie, FEI Jun-Ying. THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE[J]. Acta mathematica scientia,Series B, 2002, 22(2): 277-282.

THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

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