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» Analysis of Modular Arithmetic
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ICCD
2007
IEEE
151views Hardware» more  ICCD 2007»
15 years 6 months ago
Benchmarks and performance analysis of decimal floating-point applications
The IEEE P754 Draft Standard for Floating-point Arithmetic provides specifications for Decimal Floating-Point (DFP) formats and operations. Based on this standard, many developer...
Liang-Kai Wang, Charles Tsen, Michael J. Schulte, ...
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
IJNSEC
2010
324views more  IJNSEC 2010»
14 years 4 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi
RECONFIG
2008
IEEE
184views VLSI» more  RECONFIG 2008»
15 years 4 months ago
FPGA Implementation of an Elliptic Curve Cryptosystem over GF(3^m)
This paper describes an efficient arithmetic processor for elliptic curve cryptography. The proposed processor consists of special architectural components, the most important of...
Ilker Yavuz, Siddika Berna Ors Yalcin, Çeti...
CRYPTO
2003
Springer
98views Cryptology» more  CRYPTO 2003»
15 years 3 months ago
A Message Authentication Code Based on Unimodular Matrix Groups
We present a new construction based on modular groups. A novel element of our construction is to embed each input into a sequence of matrices with determinant ±1, the product of w...
Matthew Cary, Ramarathnam Venkatesan