Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji:
http://hdl.handle.net/11320/3632
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Futa, Yuichi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Mizushima, Daichi | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:05:20Z | - |
dc.date.available | 2015-12-06T19:05:20Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 1, 2012, Pages 87-95 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3632 | - |
dc.description.abstract | In this article, we formalize operations of points on an elliptic curve over GF(p). Elliptic curve cryptography [7], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security. We prove that the two operations of points: compellProjCo and addellProjCo are unary and binary operations of a point over the elliptic curve. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Operations of Points on Elliptic Curve in Projective Coordinates | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0012-2 | - |
dc.description.Affiliation | Futa Yuichi - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Mizushima Daichi - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | - |
dc.description.references | Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. Set of points on elliptic curve in projective coordinates. Formalized Mathematics, 19(3):131-138, 2011, doi: 10.2478/v10037-011-0021-6. | - |
dc.description.references | G. Seroussi I. Blake and N. Smart. Elliptic Curves in Cryptography. Number 265 in London Mathematical Society Lecture Note Series. Cambridge University Press, 1999. | - |
dc.description.references | Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. | - |
dc.description.references | Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990. | - |
dc.description.references | Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relative primes. Formalized Mathematics, 1(5):829-832, 1990. | - |
dc.description.references | Christoph Schwarzweller. The binomial theorem for algebraic structures. Formalized Mathematics, 9(3):559-564, 2001. | - |
dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. | - |
dc.description.references | Andrzej Trybulec. Tuples, projections and Cartesian products. Formalized Mathematics, 1(1):97-105, 1990. | - |
dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2012, Volume 20, Issue 1 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
v10037-012-0012-2.pdf | 281,62 kB | Adobe PDF | Otwórz |
Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL