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|Title:||A note on linearized polynomials and the dimension of their kernels||Authors:||Ling, San
|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)  and Yuan and Zeng (2011) . 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) . Moreover, more explicit representations of such polynomials are given and several classes of explicit linearized polynomials with kernel of any given dimension are presented.||URI:||https://hdl.handle.net/10356/96078
|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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