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Finite Fields and Applications [electronic resource] :7th International Conference, Fq7, Toulouse, France, May 5-9, 2003. Revised Papers /

Contributor(s): Mullen, Gary L [editor.] | Poli, Alain [editor.] | Stichtenoth, Henning [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computer Science: 2948Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.Description: VIII, 263 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540246336.Subject(s): Mathematics | Coding theory | Algorithms | Numerical analysis | Computer science -- Mathematics | Algebra | Field theory (Physics) | Mathematics | Algebra | Numeric Computing | Coding and Information Theory | Algorithm Analysis and Problem Complexity | Symbolic and Algebraic Manipulation | Field Theory and PolynomialsOnline resources: Click here to access online
Contents:
On the Autocorrelation of Cyclotomic Generators -- The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve -- On Cyclic Top-Associative Generalized Galois Rings -- Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves -- Mutual Irreducibility of Certain Polynomials -- Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences -- Symplectic Spreads and Permutation Polynomials -- What Do Random Polynomials over Finite Fields Look Like? -- Combinatorics of the Two-Variable Zeta Function -- Constructions of Mutually Unbiased Bases -- A Construction of Matrices with No Singular Square Submatrices -- Everywhere Ramified Towers of Global Function Fields -- On the Construction of Some Towers over Finite Fields -- The Covering Radius of Some Primitive Ternary BCH Codes -- The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes -- Primitive Polynomials over Small Fields -- Vectorial Functions and Covering Sequences -- u q -Sharp Subsets of a Finite Field -- Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.
In: Springer eBooks
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On the Autocorrelation of Cyclotomic Generators -- The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve -- On Cyclic Top-Associative Generalized Galois Rings -- Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves -- Mutual Irreducibility of Certain Polynomials -- Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences -- Symplectic Spreads and Permutation Polynomials -- What Do Random Polynomials over Finite Fields Look Like? -- Combinatorics of the Two-Variable Zeta Function -- Constructions of Mutually Unbiased Bases -- A Construction of Matrices with No Singular Square Submatrices -- Everywhere Ramified Towers of Global Function Fields -- On the Construction of Some Towers over Finite Fields -- The Covering Radius of Some Primitive Ternary BCH Codes -- The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes -- Primitive Polynomials over Small Fields -- Vectorial Functions and Covering Sequences -- u q -Sharp Subsets of a Finite Field -- Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.

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