Trace Representation of Binary Generalized Cyclotomic Sequences with Length pm

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概要

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• Some new generalized cyclotomic sequences defined by C. Ding and T. Helleseth are proven to exhibit a number of good randomness properties. In this paper, we determine the defining pairs of these sequences of length pm (p prime, m å 2) with order two, then from which we obtain their trace representation. Thus their linear complexity can be derived using Keys method.

著者

• DU Xiaoni

  College of Mathematics and Information Science, Northwest Normal Univ. and the State Key Lab. of Int

• CHEN Zhixiong

  Key Lab of Applied Mathematics, Putian University

関連論文

• Trace Representation of Binary Generalized Cyclotomic Sequences with Length pm
• Trace Representation of a New Class of Sextic Residue Sequences of Period p≡3 (mod 8)
• A Construction of Binary Cyclotomic Sequences Using Extension Fields

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