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DCC
2008
IEEE
14 years 4 months ago
On the graph of a function in many variables over a finite field
Some improved bounds on the number of directions not determined by a point set in the affine space AG(k, q) are presented. More precisely, if there are more than pe (q -1) directio...
Simeon Ball
CORR
2008
Springer
100views Education» more  CORR 2008»
13 years 4 months ago
Graph-Based Classification of Self-Dual Additive Codes over Finite Fields
Quantum stabilizer states over Fm can be represented as self-dual additive codes over Fm2 . These codes can be represented as weighted graphs, and orbits of graphs under the genera...
Lars Eirik Danielsen
AAECC
1993
Springer
170views Algorithms» more  AAECC 1993»
13 years 8 months ago
Exponential Sums as Discrete Fourier Transform with Invariant Phase Functions
We give estimates for exponential sums over finite fields in several variables. We study the case where the phase is either quadratic or more generally invariant under the action ...
Gilles Lachaud
WDAG
2007
Springer
125views Algorithms» more  WDAG 2007»
13 years 10 months ago
Approximating Wardrop Equilibria with Finitely Many Agents
We study adaptive routing algorithms in a round-based model. Suppose we are given a network equipped with load-dependent latency functions on the edges and a set of commodities eac...
Simon Fischer, Lars Olbrich, Berthold Vöcking
LATA
2010
Springer
13 years 8 months ago
Variable Automata over Infinite Alphabets
Automated reasoning about systems with infinite domains requires an extension of regular automata to infinite alphabets. Existing formalisms of such automata cope with the infinite...
Sarai Sheinvald, Orna Grumberg, Orna Kupferman