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» On the Number of Optimal Base 2 Representations of Integers
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CORR
2010
Springer
60views Education» more  CORR 2010»
13 years 8 months ago
A Note on Integer Factorization Using Lattices
We revisit Schnorr's lattice-based integer factorization algorithm, now with an effective point of view. We present effective versions of Theorem 2 of [11], as well as new pro...
Antonio Ignacio Vera
CORR
2011
Springer
124views Education» more  CORR 2011»
13 years 3 months ago
Redundancy of minimal weight expansions in Pisot bases
Abstract. Motivated by multiplication algorithms based on redundant number representations, we study representations of an integer n as a sum n = k εkUk, where the digits εk are ...
Peter J. Grabner, Wolfgang Steiner
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 8 months ago
An LSB Data Hiding Technique Using Natural Numbers
In this paper, a novel data hiding technique is proposed, as an improvement over the Fibonacci LSB data-hiding technique proposed by Battisti et al. [1] based on decomposition of ...
Sandipan Dey, Ajith Abraham, Sugata Sanyal
MYCRYPT
2005
Springer
189views Cryptology» more  MYCRYPT 2005»
14 years 1 months ago
An Analysis of Double Base Number Systems and a Sublinear Scalar Multiplication Algorithm
In this paper we produce a practical and efficient algorithm to find a decomposition of type n = kˆ i=1 2si 3ti , si, ti ∈ N ∪ {0} with k ≤   c + o(1) ¡ log n log log n ....
Mathieu Ciet, Francesco Sica
ARITH
2005
IEEE
14 years 2 months ago
A Hardware Algorithm for Integer Division
Abstract— A hardware algorithm for integer division is proposed. It is based on the digit-recurrence, non-restoring division algorithm. Fast computation is achieved by the use of...
Naofumi Takagi, Shunsuke Kadowaki, Kazuyoshi Takag...