JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences
Junichi YarimizuYukihiro UchidaShigenori Uchiyama
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2014 年 6 巻 p. 5-7

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In 1948, Ward defined elliptic divisibility sequences satisfying a certain recurrence relation. An elliptic divisibility sequence arises from any choice of elliptic curve and initial point on that curve. In this paper, we define a hard problem in the theory of elliptic divisibility sequences (EDS-DH problem), which is computationally equivalent to the elliptic curve Diffie-Hellman problem.
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© 2014 The Japan Society for Industrial and Applied Mathematics
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