Browsing Theses by Subject "Elliptic Curve Cryptography"
Now showing items 1-5 of 5
-
On Efficient Polynomial Multiplication and Its Impact on Curve based Cryptosystems
(University of Waterloo, 2013-12-13)Secure communication is critical to many applications. To this end, various security goals can be achieved using elliptic/hyperelliptic curve and pairing based cryptography. Polynomial multiplication is used in the underlying ... -
On Error Detection and Recovery in Elliptic Curve Cryptosystems
(University of Waterloo, 2011-08-16)Fault analysis attacks represent a serious threat to a wide range of cryptosystems including those based on elliptic curves. With the variety and demonstrated practicality of these attacks, it is essential for cryptographic ... -
Post-Quantum Security of Authenticated Key Establishment Protocols
(University of Waterloo, 2016-04-20)We present a security model for authenticated key establishment that allows for quantum interactions between the adversary and quantum oracles that emulate classical parties, resulting in a truly post-quantum security ... -
Towards Efficient Hardware Implementation of Elliptic and Hyperelliptic Curve Cryptography
(University of Waterloo, 2012-07-31)Implementation of elliptic and hyperelliptic curve cryptographic algorithms has been the focus of a great deal of recent research directed at increasing efficiency. Elliptic curve cryptography (ECC) was introduced ... -
Using Random Digit Representation for Elliptic Curve Scalar Multiplication
(University of Waterloo, 2018-09-20)Elliptic Curve Cryptography (ECC) was introduced independently by Miller and Koblitz in 1986. Compared to the integer factorization based Rivest-Shamir-Adleman (RSA) cryptosystem, ECC provides shorter key length with the ...