Group structure of elliptic curves over finite fields and applications

Ram Murty; Igor Shparlinski

doi:10.1007/1-4020-5334-4_5

Group structure of elliptic curves over finite fields and applications

Ram Murty^*, Igor Shparlinski

^*Corresponding author for this work

School of Computing

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Original language	English
Title of host publication	Topics in geometry, coding theory and cryptography
Editors	A Garcia, H Stichtenoth
Place of Publication	Netherlands
Publisher	Springer, Springer Nature
Pages	167-194
Number of pages	28
Volume	6
ISBN (Electronic)	9781402053344
ISBN (Print)	9781402053337
DOIs	https://doi.org/10.1007/1-4020-5334-4_5
Publication status	Published - 2007

Publication series

Name	Algebra and Applications
Publisher	SPRINGER
Volume	6

Keywords

AVERAGE FROBENIUS DISTRIBUTIONS
REINGOLD PSEUDORANDOM FUNCTION
CHEBOTAREV DENSITY-THEOREM
ARTIN CONJECTURE
MODULO-P
EXPONENTIAL-SUMS
PRIME DIVISORS
DISCRETE LOGARITHMS
LINEAR COMPLEXITY
SUBSPACE THEOREM

Access to Document

10.1007/1-4020-5334-4_5

Cite this

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title = "Group structure of elliptic curves over finite fields and applications",

keywords = "AVERAGE FROBENIUS DISTRIBUTIONS, REINGOLD PSEUDORANDOM FUNCTION, CHEBOTAREV DENSITY-THEOREM, ARTIN CONJECTURE, MODULO-P, EXPONENTIAL-SUMS, PRIME DIVISORS, DISCRETE LOGARITHMS, LINEAR COMPLEXITY, SUBSPACE THEOREM",

author = "Ram Murty and Igor Shparlinski",

year = "2007",

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language = "English",

isbn = "9781402053337",

volume = "6",

series = "Algebra and Applications",

publisher = "Springer, Springer Nature",

pages = "167--194",

editor = "A Garcia and H Stichtenoth",

booktitle = "Topics in geometry, coding theory and cryptography",

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Group structure of elliptic curves over finite fields and applications. / Murty, Ram; Shparlinski, Igor.
Topics in geometry, coding theory and cryptography. ed. / A Garcia; H Stichtenoth. Vol. 6 Netherlands: Springer, Springer Nature, 2007. p. 167-194 (Algebra and Applications; Vol. 6).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Group structure of elliptic curves over finite fields and applications

AU - Murty, Ram

AU - Shparlinski, Igor

PY - 2007

Y1 - 2007

KW - AVERAGE FROBENIUS DISTRIBUTIONS

KW - REINGOLD PSEUDORANDOM FUNCTION

KW - CHEBOTAREV DENSITY-THEOREM

KW - ARTIN CONJECTURE

KW - MODULO-P

KW - EXPONENTIAL-SUMS

KW - PRIME DIVISORS

KW - DISCRETE LOGARITHMS

KW - LINEAR COMPLEXITY

KW - SUBSPACE THEOREM

U2 - 10.1007/1-4020-5334-4_5

DO - 10.1007/1-4020-5334-4_5

M3 - Chapter

SN - 9781402053337

VL - 6

T3 - Algebra and Applications

SP - 167

EP - 194

BT - Topics in geometry, coding theory and cryptography

A2 - Garcia, A

A2 - Stichtenoth, H

PB - Springer, Springer Nature

CY - Netherlands

ER -