The Hessian form of an elliptic curve

NP Smart

The Hessian form of an elliptic curve

NP Smart

Cryptography and Information Security

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

94 Citations (Scopus)

Abstract

In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.

Translated title of the contribution	The Hessian form of an elliptic curve
Original language	English
Title of host publication	Cryptographic Hardware and Embedded Systems - CHES 2001
Editors	Koc , Naccache , Paar
Publisher	Springer Berlin Heidelberg
Pages	118 - 125
Number of pages	7
Volume	2162
Publication status	Published - May 2001

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Conference Proceedings/Title of Journal: CHES 2001

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title = "The Hessian form of an elliptic curve",

abstract = "In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent. ",

author = "NP Smart",

note = "Conference Proceedings/Title of Journal: CHES 2001",

year = "2001",

month = may,

language = "English",

volume = "2162",

pages = "118 -- 125",

editor = "Koc and Naccache and Paar",

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publisher = "Springer Berlin Heidelberg",

address = "Germany",

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AU - Smart, NP

N1 - Conference Proceedings/Title of Journal: CHES 2001

PY - 2001/5

Y1 - 2001/5

N2 - In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.

AB - In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.

M3 - Conference Contribution (Conference Proceeding)

VL - 2162

SP - 118

EP - 125

BT - Cryptographic Hardware and Embedded Systems - CHES 2001

A2 - null, Koc

A2 - null, Naccache

A2 - null, Paar

PB - Springer Berlin Heidelberg

ER -

The Hessian form of an elliptic curve

Abstract

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