FPGAs are an attractive platform for elliptic curve cryptography hardware. Since field multiplication is the most critical operation in elliptic curve cryptography, we have studi...
Cryptanalysis of symmetric and asymmetric ciphers is a challenging task due to the enormous amount of involved computations. To tackle this computational complexity, usually the e...
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Three main methods with favorable security and efficiency can be considered in the design of cryptosystems. These methods are integer factorization systems (of which RSA is the be...
Abstract. We use the specific structure of the inputs to the cofactorization step in the general number field sieve (GNFS) in order to optimize the runtime for the cofactorizatio...