Finite Fields and Applications
Springer Berlin (Verlag)
978-3-540-41109-3 (ISBN)
Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings.- Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound.- Self-Dual Normal Bases and Related Topics.- Permutations amongst the Dembowski-Ostrom Polynomials.- Associative Rational Functions in Two Variables.- A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences.- Gelfond-Gramain's Theorem for Function Fields.- On Generalized Bent and q-ary Perfect Nonlinear Functions.- Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group..- A Permutation of a Small Infinite Field.- Almost Perfect Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5.- On Non-Abelian Semi-Regular Relative Difference Sets.- Applications of Arithmetical Geometry to Cryptographic Constructions.- Gauß Periods in Finite Fields.- Constructions of Orthomorphisms of ?2n.- Period Polynomials for $${F_{{{p^{2}}}}}$$ of Fixed Small Degree.- Universal Generators for Primary Closures of Galois Fields.- Irreducible Polynomials Generated by Decimations.- Decoding Reed-Muller Codes beyond Half the Minimum Distance.- On Binary Cyclic Codes With Few Weights.- Mac Williams Identities for Linear Codes over Finite Frobenius Rings.- Cyclotomic Function Fields with Many Rational Places.- On the Siamese Twin Designs.- On the Brauer Monoid for Finite Fields.- Algorithms for Factoring Polynomials over Finite Fields.- Gauss Sums over Quasi-Frobenius Rings.- On the Early History of Galois Fields.- Linear Blocking Sets: a Survey.- Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications.- On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over Fq.- APermutation Problem for Finite Fields.- The L-Function of Gold Exponential Sum.- On Permutation Polynomials and Derivable Translation Planes.- Pure L-Functions from Algebraic Geometry over Finite Fields.- Incomplete Additive Character Sums and Applications.- Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences.- Author Index.
Erscheint lt. Verlag | 20.3.2001 |
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Zusatzinfo | IX, 490 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 840 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
Schlagworte | Algebra • algorithms • coding theory • cryptography • finite field • Finite Fields • Galois field • Galois geometry • Graph • Permutation • Scientific Computing |
ISBN-10 | 3-540-41109-7 / 3540411097 |
ISBN-13 | 978-3-540-41109-3 / 9783540411093 |
Zustand | Neuware |
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