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Niho Type Cross-Correlation Functions Via Dickson Polynomials and Kloosterman Sums.
- Source :
-
IEEE Transactions on Information Theory . Feb2006, Vol. 52 Issue 2, p613-627. 15p. - Publication Year :
- 2006
-
Abstract
- Suppose that n = 2k is even. We study the cross-correlation function between two m-sequences for Niho type decimations d = (2k - 1)s + 1. We develop a new technique to study the value distribution of these cross-correlation functions, which makes use of Dickson polynomials. As a first application, we derive here the distribution of the six-valued cross-correlation function for s = 3 and odd k, up to a term which depends on Kloosterman sums. In addition, applying simpler methods, we prove a theorem providing Niho type decimations with four-valued cross-correlation functions and their distribution. We conjecture that the latter result actually covers all such decimations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 52
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 20082744
- Full Text :
- https://doi.org/10.1109/TIT.2005.862094