Add to ORKGThe efficiency of number theory based cryptosystems correlatesdirectly to the efficiency of large integer multiplication operation. In this paper, we propose a hybrid of Karatsuba-Classical multiplication algorithm that is based on a Look-up table of "Big-Digits" representation. The Big-Digits representation is a more compact representation compared to the binary representation. Therefore, by using the Big-Digits representation, the number of sub-multiplication operations in a multiplication algorithm will reduce significantly. The results of this study show that the proposed multiplication algorithm, which is based on the Big-Digits representation, is faster than the classical, Karatsuba and the hybrid of Karatsuba-Classical multiplication...
Efficient polynomial multiplication formulae are required for cryptographic computation. From ellipt...
This paper presents a hardware implementation of efficient algorithms that uses the mathemati...
In most currently used public-key cryptographic systems, including those based on the difficulty to ...
Public-key cryptosystems are broadly employed to provide security for digital information. Improving...
The idea of Public Key Cryptography showed up after the studies conducted by W. Diffie and M. Hellma...
Multiplication is one of the basic operations that influence the performance of many computer applic...
Number representation systems establish ways in which numbers are mapped to computer architectures, ...
Public-key cryptosystems are broadly employed to provide security for digital information. Improving...
Here, we present a modified version of the Karatsuba algorithm to facilitate the FPGA-based implemen...
Integer multiplication is one of the fundamental functions in cryptographic systems. Although much r...
. A modular exponentiation is one of the most important operations in public-key cryptography. Howev...
Summary. In this article, we propose a new high-speed processing method for encoding and decoding th...
Public-key cryptography is a mechanism for secret communication between parties who have never befor...
Modular exponentiation is an important operation in public-key cryptography. The Common-Multiplicand...
Modular exponentiation is an important operation in public-key cryptography. The Common-Multiplicand...
Efficient polynomial multiplication formulae are required for cryptographic computation. From ellipt...
This paper presents a hardware implementation of efficient algorithms that uses the mathemati...
In most currently used public-key cryptographic systems, including those based on the difficulty to ...
Public-key cryptosystems are broadly employed to provide security for digital information. Improving...
The idea of Public Key Cryptography showed up after the studies conducted by W. Diffie and M. Hellma...
Multiplication is one of the basic operations that influence the performance of many computer applic...
Number representation systems establish ways in which numbers are mapped to computer architectures, ...
Public-key cryptosystems are broadly employed to provide security for digital information. Improving...
Here, we present a modified version of the Karatsuba algorithm to facilitate the FPGA-based implemen...
Integer multiplication is one of the fundamental functions in cryptographic systems. Although much r...
. A modular exponentiation is one of the most important operations in public-key cryptography. Howev...
Summary. In this article, we propose a new high-speed processing method for encoding and decoding th...
Public-key cryptography is a mechanism for secret communication between parties who have never befor...
Modular exponentiation is an important operation in public-key cryptography. The Common-Multiplicand...
Modular exponentiation is an important operation in public-key cryptography. The Common-Multiplicand...
Efficient polynomial multiplication formulae are required for cryptographic computation. From ellipt...
This paper presents a hardware implementation of efficient algorithms that uses the mathemati...
In most currently used public-key cryptographic systems, including those based on the difficulty to ...