Uniqueness of F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2)

Date

2014-09-01

Author

Özbudak, Ferruh

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

136
views

0
downloads

Let q be a power of an odd prime. We prove that all F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2) are equivalent. We also give a geometric method to find the corresponding equivalence explicitly.

Subject Keywords

Theoretical Computer Science, General Engineering, Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/47948

Journal

FINITE FIELDS AND THEIR APPLICATIONS

DOI

https://doi.org/10.1016/j.ffa.2014.03.004

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Some sufficient conditions for p-nilpotency of a finite group Kızmaz, Muhammet Yasir (Informa UK Limited, 2019-09-02) Let G be a finite group and let p be prime dividing . In this article, we supply some sufficient conditions for G to be p-nilpotent (see Theorem 1.2) as an extension of the main theorem of Li et al. (J. Group Theor. 20(1): 185-192, 2017).
Further improvements on asymptotic bounds for codes using distinguished divisors Niederreiter, Harald; Özbudak, Ferruh (Elsevier BV, 2007-07-01) For a prime power q, let alpha(q) be the standard function in the asymptotic theory of codes, that is, alpha(q)(delta) (6) is the largest asymptotic information rate that can be achieved for a given asymptotic relative minimum distance 6 of q-ary codes. In recent years the Tsfasman-VlAduj-Zink lower bound on alpha(q) (delta) was improved by Elkies, Xing, and Niederreiter and Ozbudak. In this paper we show further improvements on these bounds by using distinguished divisors of global function fields. (c) 200...
Joint linear complexity of arbitrary multisequences consisting of linear recurring sequences Fu, Fang-Wei; Niederreiter, Harald; Özbudak, Ferruh (Elsevier BV, 2009-08-01) Let g(1),..., g(s) is an element of F-q[x] be arbitrary nonconstant monic polynomials. Let M(g(1),..., g(s)) denote the set of s-fold multisequences (sigma(1),...,sigma(s)) such that sigma(i) is a linear recurring sequence over F-q with characteristic polynomial g(i) for each 1 <= i <= s. Recently, we obtained in some special cases (for instance when gl,..., gs are pairwise coprime or when g(1) = ... = g(s)) the expectation and the variance of the joint linear complexity of random multisequences that are un...
A short note on permutation trinomials of prescribed type Akbal, Yildirim; GÜLMEZ TEMÜR, BURCU; Ongan, Pinar (Informa UK Limited, 2019-11-21) We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).
Invariant subspaces for banach space operators with a multiply connected spectrum Yavuz, Onur (Springer Science and Business Media LLC, 2007-07-01) We consider a multiply connected domain Omega = D \U (n)(j= 1) (B) over bar(lambda(j), r(j)) where D denotes the unit disk and (B) over bar(lambda(j), r(j)) subset of D denotes the closed disk centered at lambda(j) epsilon D with radius r(j) for j = 1,..., n. We show that if T is a bounded linear operator on a Banach space X whose spectrum contains delta Omega and does not contain the points lambda(1),lambda(2),...,lambda(n), and the operators T and r(j)( T -lambda I-j)(-1) are polynomially bounded, then th...

Citation Formats

F. Özbudak, “Uniqueness of F-q-quadratic perfect nonlinear maps from F-q3 to F-q(2),” FINITE FIELDS AND THEIR APPLICATIONS, pp. 49–88, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47948.