The solutions of the third power sum equation for niho type decimations

Authors:
Kalle Ranto;Petri Rosendahl
Affiliations:
Department of Mathematics, University of Turku, Turku, Finland;Department of Mathematics, University of Turku, Turku, Finland
Venue:
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
2006

Citing 7
Cited 0

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Abstract

We will completely describe the solutions of the equation (x+1)d=xd+1 in the field GF(q2), where q=pkand d is of Niho type, i.e., d≡1 (modq−1). Our results have applications in the theory of cross-correlation functions of m-sequences and in the theory of cyclic codes.