Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (2): 277-282.

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THE BINARY IMAGE OF THE DUAL OF QUATERNARY GOETHALS CODE

 CUI Jie, FEI Jun-Ying   

  1. 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

Abstract:

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.

Key words: Quaternary Goethals code, Gray map

CLC Number: 

  • 94A60
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