TY - GEN
T1 - The quadratic extension extractor for (hyper)elliptic curves in odd characteristic
AU - Farashahi, Reza Rezaeian
AU - Pellikaan, Ruud
PY - 2007
Y1 - 2007
N2 - We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over double-struck F signq2, where q is some power of an odd prime. Our extractor, for a given point P on C, outputs the first double-struck F signq-coefficient of the abscissa of the point P. We show that if a point P is chosen uniformly at random in C, the element extracted from the point P is indistinguishable from a uniformly random variable in double-struck F signq.
AB - We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over double-struck F signq2, where q is some power of an odd prime. Our extractor, for a given point P on C, outputs the first double-struck F signq-coefficient of the abscissa of the point P. We show that if a point P is chosen uniformly at random in C, the element extracted from the point P is indistinguishable from a uniformly random variable in double-struck F signq.
KW - Deterministic extractor
KW - Elliptic curve
KW - Hyperelliptic curve
UR - http://www.scopus.com/inward/record.url?scp=38149056590&partnerID=8YFLogxK
M3 - Conference proceeding contribution
AN - SCOPUS:38149056590
SN - 9783540730736
VL - 4547 LNCS
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 219
EP - 236
BT - Arithmetic of Finite Fields - First International Workshop, WAIFI 2007, Proceedings
A2 - Carlet, Claude
A2 - Sunar, Berk
T2 - 1st International Workshop on Arithmetic of Finite Fields, WAIFI 2007
Y2 - 21 June 2007 through 22 June 2007
ER -