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FFA
2010
86views more  FFA 2010»
13 years 4 months ago
Self-dual codes over commutative Frobenius rings
Steven T. Dougherty, Jon-Lark Kim, Hamid Kulosman,...
FFA
2010
84views more  FFA 2010»
13 years 4 months ago
Generating series for irreducible polynomials over finite fields
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
Arnaud Bodin
FFA
2010
84views more  FFA 2010»
13 years 4 months ago
Dembowski-Ostrom polynomials from Dickson polynomials
Motivated by several recent results, we determine precisely when Fk(Xd, a) − Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or se...
Robert S. Coulter, Rex W. Matthews
FFA
2010
139views more  FFA 2010»
13 years 4 months ago
Coset bounds for algebraic geometric codes
We develop new coset bounds for algebraic geometric codes. The bounds have a natural interpretation as an adversary threshold for algebraic geometric secret sharing schemes and le...
Iwan M. Duursma, Seungkook Park
FFA
2010
70views more  FFA 2010»
13 years 3 months ago
Fast arithmetic in unramified p-adic fields
Let p be prime and Zpn a degree n unramified extension of the ring of p-adic integers Zp. In this paper we give an overview of some very fast deterministic algorithms for common o...
Hendrik Hubrechts