Set of Points on Elliptic Curve in Projective Coordinates

Pole DC	Wartość	Język
dc.contributor.author	Futa, Yuichi	-
dc.contributor.author	Okazaki, Hiroyuki	-
dc.contributor.author	Shidama, Yasunari	-
dc.date.accessioned	2015-12-06T19:04:50Z	-
dc.date.available	2015-12-06T19:04:50Z	-
dc.date.issued	2011	-
dc.identifier.citation	Formalized Mathematics, Volume 19, Issue 3, 2011, Pages 131-138	-
dc.identifier.issn	1426-2630	-
dc.identifier.issn	1898-9934	-
dc.identifier.uri	http://hdl.handle.net/11320/3608	-
dc.description.abstract	In this article, we formalize a set of points on an elliptic curve over GF(p). Elliptic curve cryptography [10], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security.	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.title	Set of Points on Elliptic Curve in Projective Coordinates	-
dc.type	Article	-
dc.identifier.doi	10.2478/v10037-011-0021-6	-
dc.description.Affiliation	Futa Yuichi - Shinshu University, Nagano, Japan	-
dc.description.Affiliation	Okazaki Hiroyuki - Shinshu University, Nagano, Japan	-
dc.description.Affiliation	Shidama Yasunari - Shinshu University, Nagano, Japan	-
dc.description.references	Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.	-
dc.description.references	Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.	-
dc.description.references	Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.	-
dc.description.references	Józef Białas. Group and field definitions. Formalized Mathematics, 1(3):433-439, 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	Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.	-
dc.description.references	Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.	-
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	Konrad Raczkowski and Paweł Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441-444, 1990.	-
dc.description.references	Christoph Schwarzweller. The ring of integers, euclidean rings and modulo integers. Formalized Mathematics, 8(1):29-34, 1999.	-
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.	-
dc.description.references	Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.	-
dc.description.references	Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85-89, 1990.	-
Występuje w kolekcji(ach):	Formalized Mathematics, 2011, Volume 19, Issue 3

Pliki w tej pozycji:

Plik	Opis	Rozmiar	Format
v10037-011-0021-6.pdf		281,79 kB	Adobe PDF	Otwórz

Pokaż uproszczony widok rekordu Zobacz statystyki

Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL