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» Detecting Rational Points on Hypersurfaces over Finite Field...
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MOC
2000
78views more  MOC 2000»
13 years 7 months ago
Tables of curves with many points
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...
Gerard van der Geer, Marcel van der Vlugt
AAECC
2002
Springer
126views Algorithms» more  AAECC 2002»
13 years 7 months ago
Toric Varieties Hirzebruch Surfaces and Error-Correcting Codes
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...
Johan P. Hansen
ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 7 months ago
Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...
Qi Cheng, Ming-Deh A. Huang