数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (1): 100-106.

• 论文 • 上一篇    下一篇

BILINEAR FORMS AND LINEAR CODES

高莹   

  1. Academy of Mathematics and Systems Science, CAS, Beijing 100080, China
  • 出版日期:2004-07-13 发布日期:2004-07-13

BILINEAR FORMS AND LINEAR CODES

 GAO Ying   

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

摘要:

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.

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

中图分类号: 

  • 94B15