Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (1): 100-106.

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BILINEAR FORMS AND LINEAR CODES

 GAO Ying   

  • Online:2004-07-13 Published:2004-07-13

Abstract:

Abraham Lempel et al[1] made a connection between linear codes and systems
of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem
in [1] is presented; in addition, the encoding process and the decoding procedure of RS codes
are simplified via circulant matrices. Finally, the results show that the correspondence
between bilinear forms and linear codes is not unique.

Key words: Bilinear forms;linear codes, Reed-Solomon codes;BCH codes;circulant
matrices

CLC Number: 

  • 94B15
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