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ALGORITHMICA
1999
123views more  ALGORITHMICA 1999»
14 years 9 months ago
Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields
We describe a coarse-grain parallel software system for the homogeneous solution of linear systems. Our solutions are symbolic, i.e., exact rather than numerical approximations. O...
Erich Kaltofen, A. Lobo
IJNSEC
2010
105views more  IJNSEC 2010»
14 years 4 months ago
A Note on the Constructions of Orthomorphic Permutations
Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over Fm 2 , and it...
Jianqin Zhou
FOCS
1998
IEEE
15 years 1 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
SODA
1992
ACM
90views Algorithms» more  SODA 1992»
14 years 10 months ago
Self-Testing Polynomial Functions Efficiently and Over Rational Domains
In this paper we give the first self-testers and checkers for polynomials over rational and integer domains. We also show significantly stronger bounds on the efficiency of a simp...
Ronitt Rubinfeld, Madhu Sudan
IJNSEC
2010
324views more  IJNSEC 2010»
14 years 4 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi