Add to ORKGA dual representation scheme for performing arithmetic modulo an arbitrary integer M is presented. The coding scheme maps each integer N in the range 0 <= N < M into one of two representations, each being identified by its most significant bit. The encoding of numbers is straightforward and the problem of checking for unused combinations is eliminated
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...
Abstract. A novel technique for computing a 2n-bit modular multipli-cation using n-bit arithmetic wa...
Abstract. We consider integer arithmetic modulo a power of 2 as pro-vided by mainstream programming ...
A dual representation scheme for performing arithmetic modulo an arbitrary integer M is presented. T...
Most implementations of modular arithmetic are restricted to the cases M = 2 to the n power - 1 or M...
This paper presents a novel approach to perform modular arithmetic addition and subtraction using ba...
In this paper we present algorithms for a Boolean encoding of four basic arithmetic operations on in...
Abstract – This paper emphasizes the advantage to use the operational notation for modular arithmeti...
This paper proposes a new fast method for calculating modular multiplication. The calculation is per...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithm...
Modular integer arithmetic occurs in many algorithms for computer algebra, cryp-tography, and error ...
The authors aim to present an alternative multilevel (nonbinary) coding method, based on a ring of i...
We propose a new number representation and arithmetic for the elements of the ring of integers modul...
In 2004, Bajard, Imbert and Plantard introduced a new system of representation to perform arithmetic...
Redundant number systems (e.g., signed binary representations) have been utilized to efficiently imp...
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...
Abstract. A novel technique for computing a 2n-bit modular multipli-cation using n-bit arithmetic wa...
Abstract. We consider integer arithmetic modulo a power of 2 as pro-vided by mainstream programming ...
A dual representation scheme for performing arithmetic modulo an arbitrary integer M is presented. T...
Most implementations of modular arithmetic are restricted to the cases M = 2 to the n power - 1 or M...
This paper presents a novel approach to perform modular arithmetic addition and subtraction using ba...
In this paper we present algorithms for a Boolean encoding of four basic arithmetic operations on in...
Abstract – This paper emphasizes the advantage to use the operational notation for modular arithmeti...
This paper proposes a new fast method for calculating modular multiplication. The calculation is per...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithm...
Modular integer arithmetic occurs in many algorithms for computer algebra, cryp-tography, and error ...
The authors aim to present an alternative multilevel (nonbinary) coding method, based on a ring of i...
We propose a new number representation and arithmetic for the elements of the ring of integers modul...
In 2004, Bajard, Imbert and Plantard introduced a new system of representation to perform arithmetic...
Redundant number systems (e.g., signed binary representations) have been utilized to efficiently imp...
Abstract. In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptogra...
Abstract. A novel technique for computing a 2n-bit modular multipli-cation using n-bit arithmetic wa...
Abstract. We consider integer arithmetic modulo a power of 2 as pro-vided by mainstream programming ...