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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Trace Representation of a New Class of Sextic Residue Sequences of Period p ≡ 3 (mod 8)
Xiaoni DUZhixiong CHENAiling SHIRong SUN
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2009 Volume E92.A Issue 2 Pages 668-670

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Abstract
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.
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© 2009 The Institute of Electronics, Information and Communication Engineers
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