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On Some Permutation Binomials and Trinomials Over F 2 n
Abstract : In this work, we completely characterize (i) permutation bi-nomials of the form f (x) = x^{( 2^n −1)/( 2^k −1) +1} + ax ∈ F2^n [x], k odd and n = 2^r k(r ≥ 1), a ∈ F *_{2^{2k}} , and (ii) permutation trinomials of the form x^{ 2^r +1} +x^{ 2^r−1} +1 +αx ∈ F _{2^k} [x], k odd. First result, which was our primary motivation, is a consequence of the second result. Second result may be of independent interest.
Cited literature [19 references]
https://hal.inria.fr/hal-01275776
Contributor : Jean-Pierre Tillich <>
Submitted on : Thursday, February 18, 2016 - 10:30:58 AM
Last modification on : Friday, February 19, 2016 - 10:52:27 AM
Long-term archiving on: : Saturday, November 12, 2016 - 10:58:08 PM
Contributor : Jean-Pierre Tillich <>
Submitted on : Thursday, February 18, 2016 - 10:30:58 AM
Last modification on : Friday, February 19, 2016 - 10:52:27 AM
Long-term archiving on: : Saturday, November 12, 2016 - 10:58:08 PM
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wcc15-tu1-2.pdf
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