Fast generation of elliptic curves with prime order over extension field of even extension degree

Yasuyuki Nogami; Yoshitaka Morikawa

Fast generation of elliptic curves with prime order over extension field of even extension degree

Research output: Contribution to journal › Conference article

Abstract

Information security technology has played a key role in protecting the equipment or some important information from evil internet users. RSA cryptosytem is the most widely used public-key cryptosystem but its key for ensuring sufficient security reachers about 2000 bits long. Hence, it is not efficient to implement RSA cryptosystem on terminal with scarce computation resources. On the other hand, elliptic curve cryptosystem (ECC) has the same security level with about 7-fold smaller length key as compared to RSA cryptosystem. Evidence suggests that ECC is more practical as compared to RSA.

Original language	English
Number of pages	1
Journal	IEEE International Symposium on Information Theory - Proceedings
Publication status	Published - Oct 20 2003
Event	Proceedings 2003 IEEE International Symposium on Information Theory (ISIT) - Yokohama, Japan Duration: Jun 29 2003 → Jul 4 2003

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modelling and Simulation
Applied Mathematics

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Nogami, Y., & Morikawa, Y. (2003). Fast generation of elliptic curves with prime order over extension field of even extension degree. IEEE International Symposium on Information Theory - Proceedings.

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abstract = "Information security technology has played a key role in protecting the equipment or some important information from evil internet users. RSA cryptosytem is the most widely used public-key cryptosystem but its key for ensuring sufficient security reachers about 2000 bits long. Hence, it is not efficient to implement RSA cryptosystem on terminal with scarce computation resources. On the other hand, elliptic curve cryptosystem (ECC) has the same security level with about 7-fold smaller length key as compared to RSA cryptosystem. Evidence suggests that ECC is more practical as compared to RSA.",

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AU - Nogami, Yasuyuki

AU - Morikawa, Yoshitaka

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N2 - Information security technology has played a key role in protecting the equipment or some important information from evil internet users. RSA cryptosytem is the most widely used public-key cryptosystem but its key for ensuring sufficient security reachers about 2000 bits long. Hence, it is not efficient to implement RSA cryptosystem on terminal with scarce computation resources. On the other hand, elliptic curve cryptosystem (ECC) has the same security level with about 7-fold smaller length key as compared to RSA cryptosystem. Evidence suggests that ECC is more practical as compared to RSA.

AB - Information security technology has played a key role in protecting the equipment or some important information from evil internet users. RSA cryptosytem is the most widely used public-key cryptosystem but its key for ensuring sufficient security reachers about 2000 bits long. Hence, it is not efficient to implement RSA cryptosystem on terminal with scarce computation resources. On the other hand, elliptic curve cryptosystem (ECC) has the same security level with about 7-fold smaller length key as compared to RSA cryptosystem. Evidence suggests that ECC is more practical as compared to RSA.

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