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DTSTART:20181104T020000
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UID:calendar.358796.field_event_date.0@www.wright.edu
DTSTAMP:20260220T000907Z
CREATED:20190425T173658Z
DESCRIPTION:Committee:  Drs. Meilin Liu\, Advisor\, Junjie Zhang\, and Keke
  ChenABSTRACT:Elliptic Curve Cryptography (ECC) is a public-key cryptograp
 hy system. Elliptic Curve Cryptography (ECC) can achieve the same level of
  security as the public-key cryptography system\, RSA\, with a much smalle
 r key size. It is a promising public key cryptography system with regard t
 o time efficiency and resource utilization.This thesis focuses on the soft
 ware implementations of ECC over finite field GF(p) with two distinct impl
 ementations of the Big Integer classes using character arrays\, and bit se
 ts in C++ programming language. Our implementation works on the ECC curves
  of the form y2 = x3 + ax + b (mod p). The point addition operation and th
 e scalar multiplication are implemented on a real SEC (Standards for Effic
 ient Cryptography) ECC curve over a prime field with two different impleme
 ntations. The Elliptic Curve Diffie-Hellman key exchange and the ElGamal e
 ncryption/decryption system on a real SEC ECC curve with two different imp
 lementations of the big integer classes are tested\, and validated. The pe
 rformances of the two different implementations are compared and analyzed.
DTSTART;TZID=America/New_York:20190501T110000
DTEND;TZID=America/New_York:20190501T130000
LAST-MODIFIED:20190425T181039Z
LOCATION:499 Joshi Research Center
SUMMARY:Masters Thesis Defense “Software Implementations and Applications o
 f Elliptic Curve Cryptography” By Kirill Kultinov
URL;TYPE=URI:/events/masters-thesis-defense-%E2%80%9C
 software-implementations-applications-elliptic-curve-cryptography%E2%80%9D
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