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Frequency Domain Finite Field Arithmetic for Elliptic Curve Cryptography

Keyword:

NTT, multiplication, number theoretic transform, elliptic curve cryptography, discrete Fourier transform, DFT, inversion, ECC, and finite fields

Creator:

baktir, selcuk

Advisor:

Sunar, Berk

Publisher:

Worcester Polytechnic Institute

Date Created:

2008-05-05

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Electrical & Computer Engineering
Low Power Elliptic Curve Cryptography

Keyword:

redundant signed digit, modulus scaling, unified architecture, Montgomery multiplication, low power, Elliptic Curve Crytography, and inversion

Creator:

Ozturk, Erdinc

Advisor:

Sunar, Berk

Publisher:

Worcester Polytechnic Institute

Date Created:

2005-05-04

Resource Type:

Thesis

Degree:

MS

Unit (Department):

Electrical & Computer Engineering
Efficient Algorithms for Finite Fields, with Applications in Elliptic Curve Cryptography

Keyword:

multiplication, elliptic curve cryptography, OTF, Cryptography, inversion, optimal tower fields, optimal extension fields, OEF, finite fields, and finite field arithmetic

Creator:

Baktir, Selcuk

Advisor:

Sunar, Berk

Publisher:

Worcester Polytechnic Institute

Date Created:

2003-05-01

Resource Type:

Thesis

Degree:

MS

Unit (Department):

Electrical & Computer Engineering