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SETA
2004
Springer
126views Mathematics» more  SETA 2004»
14 years 26 days ago
Algebraic Feedback Shift Registers Based on Function Fields
We study algebraic feedback shift registers (AFSRs) based on quotients of polynomial rings in several variables over a finite field. These registers are natural generalizations o...
Andrew Klapper
IJNSEC
2010
324views more  IJNSEC 2010»
13 years 2 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
FOCS
2004
IEEE
13 years 11 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 7 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 7 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...