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Cyclotomic Number and the Minimum Distance of a Class of Binary Cyclic Codes

SUN Guangren1, HU Wanbao2   

  1. 1. Department of Mathematics, Anqing Teachers College, Anqing 246011, Anhui Province, China; 2. National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
  • Received:2008-07-24 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
  • Contact: HU Wanbao

Abstract: The number of codewords with weight 4 in one open problem on a class of binary cyclic codes is discussed by means of cyclotomic numbers, three elementary rules of criterion on the open problem and a formula to compute A4 with only cyclotomic numbers involved is given under certain conditions.

Key words: cyclotomic numbers, binary cyclic codes, the minimum distance

CLC Number: 

  • O157.4