Finite Fields : Theory and Applications.

Intro -- Contents -- Preface -- Construction of new toric quantum codes -- On the calculation of the linear complexity of periodic sequences -- A few more functions that are not APN infinitely often -- An APN permutation in dimension six -- CCZ-equivalence of single and multi output Boolean functions -- Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions -- Solvability of systems of polynomial equations with some prescribed monomials -- Character sums in finite fields -- Monomial functions with linear structure and permutation polynomials -- Primitive elements on lines in extensions of finite fields -- Commutative semifields of order 243 and 3125 -- Normal elliptic bases and torus-based cryptography -- Unitary superperfect binary polynomials -- Shift-invariant polynomials and Ritts Second Theorem -- Waring's problem in finite fields with Dickson polynomials -- Jacobi sums and irreducible polynomials with prescribed trace and restricted norm -- A family of binary sequences from interleaved construction and their cryptographic properties -- Sziklai's conjecture on the number of points of a plane curve over a finite field II -- Folded algebraic-geometric codes from Galois extensions -- A multilinear generalization of the Tate pairing -- The merit factor of binary sequence families constructed from m-sequences -- Intractable problems in cryptography -- Modular curves and coding theory: A survey -- Minimal generating sets of Weierstrass semigroups of certain m-tuples on the norm-trace function field -- On the zeta functions of an optimal tower of function fields over F4 -- The asymptotic theory of algebraic-geometry codes -- A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd -- Cyclic codes aspects of bent functions.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.