TY  - BOOK
AU  - McGuire,Gary
AU  - Mullen,Gary L.
AU  - Panario,Daniel
AU  - Panario,Daniel
AU  - Shparlinski,Igor E.
TI  - Finite Fields: Theory and Applications
T2  - Contemporary Mathematics
SN  - 9780821881972
AV  - QA247.3 -- .I57 2009eb 
U1  - 512/.3 
PY  - 2010///
CY  - Providence
PB  - American Mathematical Society
KW  - Finite fields (Algebra) -- Congresses
KW  - Arithmetical algebraic geometry -- Congresses
KW  - Number theory -- Congresses
KW  - Coding theory -- Congresses
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113264
ER  -