36 search results - page 1 / 8 » Extractors for binary elliptic curves |
DCC
2008
IEEE
14 years 4 months ago
2008
IEEE
We propose a simple and efficient deterministic extractor for an ordinary elliptic curve E, defined over F2n , where n = 2 and is a positive integer. Our extractor, for a given poi...
WAIFI
2007
Springer
13 years 10 months ago
2007
Springer
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
CHES
2008
Springer
13 years 6 months ago
2008
Springer
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
ASIACRYPT
1999
Springer
13 years 8 months ago
1999
Springer
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
IJNSEC
2011
12 years 11 months ago
2011
In this paper, cyclic elliptic curves of the form y2 + xy = x3 + ax2 + b, a, b ∈ GF(2m ) with order M is considered in the design of a Symmetric Key Image Encryption Scheme with...