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Title: A note on linearized polynomials and the dimension of their kernels
Authors: Ling, San
Qu, Longjiang
Keywords: DRNTU::Science::Mathematics
Issue Date: 2011
Series/Report no.: Finite fields and their applications
Abstract: Recently explicit representations of the class of linearized permutation polynomials and the number of such polynomials were given in Zhou (2008) [4] and Yuan and Zeng (2011) [3]. In this paper, we generalize this result to linearized polynomials with kernel of any given dimension, solving an open problem in Charpin and Kyureghyan (2009) [1]. Moreover, more explicit representations of such polynomials are given and several classes of explicit linearized polynomials with kernel of any given dimension are presented.
DOI: 10.1016/j.ffa.2011.06.002
Rights: © 2011 Elsevier Inc.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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