Abstract

Many cryptographic applications use bilinear pairing such as identity based signature, instance identity-based key agreement, searchable public-key encryption, short signature scheme, certificate less encryption and blind signature. Elliptic curves over finite field are the most secure and efficient way to implement bilinear pairings for the these applications. Pairing based cryptosystems are being implemented on different platforms such as low-power and mobile devices. Recently, hardware capabilities of embedded devices have been emerging which can support efficient and faster implementations of pairings on hand-held devices. In this thesis, the main focus is optimization of Optimal Ate-pairing using special class of ordinary curves, Barreto-Naehring (BN), for different security levels on low-resource devices with ARM processors. Latest ARM architectures are using SIMD instructions based NEON engine and are helpful to optimize basic algorithms. Pairing implementations are being done using tower field which use field multiplication as the most important computation. This work presents NEON implementation of two multipliers (Karatsuba and Schoolbook) and compare the performance of these multipliers with different multipliers present in the literature for different field sizes. This work reports the fastest implementation timing of pairing for BN254, BN446 and BN638 curves for ARMv7 architecture which have security levels as 128-, 164-, and 192-bit, respectively. This work also presents comparison of code performance for ARMv8 architectures.

Library of Congress Subject Headings

Data encryption (Computer science); Embedded computer systems

Publication Date

12-4-2015

Document Type

Thesis

Student Type

Graduate

Degree Name

Computer Engineering (MS)

Department, Program, or Center

Computer Engineering (KGCOE)

Advisor

Reza Azarderakhsh

Advisor/Committee Member

Marcin Łukowiak

Advisor/Committee Member

Mehran Mozaffari Kermani

Comments

Physical copy available from RIT's Wallace Library at QA76.9.A25 V475 2015

Campus

RIT – Main Campus

Plan Codes

CMPE-MS

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