Trace Representation of a New Class of Sextic Residue Sequences of Period p.IDN.3 (mod 8)

• DU Xiaoni

  College of Mathematics and Information Science, Northwest Normal Univ., and State Key Laboratory of Information Security, Graduate University of Chinese Academy of Sciences

• CHEN Zhixiong

  Key Lab of Applied Mathematics, Putian University

• SHI Ailing

  Department Of Basic Science BUCEA

• SUN Rong

  State Key Lab. of Integrated Service Networks, Xidian Univ.

抄録

A new class of sextic residue sequences of period prime p = 4u² + 27 = 6f + 1 ≡ 3 (mod 8) are presented. Their trace function representations are determined. And the exact value of the linear complexity is derived from the trace function representations. The result indicates that the new sextic sequences are quite good from the linear complexity viewpoint.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E92-A (2), 668-670, 2009

  一般社団法人 電子情報通信学会

キーワード

• stream cipher
• sextic residue sequences
• trace function
• linear complexity

詳細情報

• CRID: 1390001206309883136
• NII論文ID: 10026856104
• NII書誌ID: AA10826239
• DOI: 10.1587/transfun.e92.a.668
• ISSN: 17451337
• ISSN: 09168508
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E92.A/2/E92.A_2_668/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可