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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»
14 years 12 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»
14 years 6 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»
14 years 12 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»
15 years 5 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
15 years 5 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...