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The linear complexity of new Ding-generalized cyclotomic sequences of order 2k of length pq

LI Sheng-qiang;WANG Xiao-fen;XIAO Guo-zhen

  

  1. State Key Lab. of Integrated Service Networks, Xidian Univ., Xi’an 710071, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-04-20 Published:2006-04-20

Abstract: Linear complexity is the most important index for measuring the randomness properties of sequences. Based on the Ding-generalized cyclotomy, new generalized cyclotomic sequences of order 2k of length pq are constructed by finding out a special characteristic set. The linear complexity of the sequences is determined. The minimum of the linear complexity is (n-1)/2 and the maximum of the linear complexity is n. And the sequences are balanced.

Key words: Ding-generalized cyclotomy, characteristic set, linear complexity

CLC Number: 

  • TN918.1