Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/96078
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. | URI: | https://hdl.handle.net/10356/96078 http://hdl.handle.net/10220/11195 |
DOI: | 10.1016/j.ffa.2011.06.002 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2011 Elsevier Inc. | Fulltext Permission: | none | Fulltext Availability: | No Fulltext |
Appears in Collections: | SPMS Journal Articles |
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