Efficient Algorithms for Elliptic Curve Cryptosystems using Endomorphisms
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Efficient Algorithms for Elliptic Curve Cryptosystems using Endomorphisms
Hakuta, Keisuke
Springer Verlag, Japan
09/2024
280
Dura
Inglês
9784431553472
Pré-lançamento - envio 15 a 20 dias após a sua edição
Descrição não disponível.
Introduction.- Mathematical Background.- Groups, Rings, Fields.- Elliptic Curves.- Scalar Multiplication.- Fast Computation Methods of Scalar Multiplication.- Efficient Arithmetic on Subfield Elliptic Curves Over Small Finite Fields of Odd Characteristic.- Explicit Lower Bound for the Length of Minimal Weight Expansions on Koblitz Curves.- Lower Bound for the Length of Minimal Weight Expansions on Koblitz Curves.- Another Proof of the Minimality of the Hamming Weight.- Minimal Length Form on Koblitz Curves and its Cryptographic Application.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Elliptic Curve;Endomorphism;Frobenius Expansion;Frobenius Map;Koblitz Curve;NAF;Scalar Multiplication
Introduction.- Mathematical Background.- Groups, Rings, Fields.- Elliptic Curves.- Scalar Multiplication.- Fast Computation Methods of Scalar Multiplication.- Efficient Arithmetic on Subfield Elliptic Curves Over Small Finite Fields of Odd Characteristic.- Explicit Lower Bound for the Length of Minimal Weight Expansions on Koblitz Curves.- Lower Bound for the Length of Minimal Weight Expansions on Koblitz Curves.- Another Proof of the Minimality of the Hamming Weight.- Minimal Length Form on Koblitz Curves and its Cryptographic Application.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
