@inproceedings{d1b0599f72d0484fa5d862bcf634274b,
title = "Secure hyperelliptic cryptosystems and their performance",
abstract = "We investigate the discrete logarithm problem over jacobian varieties of hypereUiptic curves suitable for public-key cryptosysterns, and clarify practical advantages of hyperelliptic cryptosystems compared to the elliptic cryptosystems and to RSA. We focus on the curves defined over the ground field of characteristic 2, and we present hyperelliptic cryptosystems from the jacobian associated with curves[Formula Presented]of genus g=3 and 11, which are secure against the known attacks. We further discuss the efficiency in implementation of such secure hyperelliptic cryptosystems.",
author = "Yasuyuki Sakai and Kouichi Sakurai and Hirokazu Ishizuka",
year = "1998",
month = jan,
day = "1",
doi = "10.1007/BFb0054023",
language = "English",
isbn = "3540646930",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "164--181",
editor = "Yuliang Zheng and Hideki Imai",
booktitle = "Public Key Cryptography - 1st International Workshop on Practice and Theory in Public Key Cryptography, PKC 1998, Proceedings",
address = "Germany",
note = "1st International Workshop on Practice and Theory in Public Key Cryptography, PKC 1998 ; Conference date: 05-02-1998 Through 06-02-1998",
}