Title :
Modified Redundant Representation for Designing Arithmetic Circuits with Small Complexity
Author :
Akleylek, Sedat ; Özbudak, Ferruh
Author_Institution :
Dept. of Comput. Eng., Ondokuz Mayis Univ., Samsun, Turkey
fDate :
3/1/2012 12:00:00 AM
Abstract :
We give a modified redundant representation for designing arithmetic circuits with small complexity. Using our modified redundant representation, we improve many of the complexity values significantly. Our method works for any finite field. We also give some applications in cryptography.
Keywords :
Galois fields; circuit complexity; cryptography; digital arithmetic; logic design; redundancy; arithmetic circuit design; circuit complexity; cryptography; finite field; modified redundant representation; Circuit synthesis; Complexity theory; Cryptography; Educational institutions; Logic gates; Polynomials; Galois field arithmetic; VLSI implementation.; elliptic curve cryptography; redundant representation;
Journal_Title :
Computers, IEEE Transactions on