Efficient Unified Arithmetic for Hardware Cryptography
Savaş, Erkay and Koç, Çetin Kaya (2008) Efficient Unified Arithmetic for Hardware Cryptography. In: Koç, Çetin Kaya, (ed.) Cryptographic Engineering. Circuits and Systems. Springer, Berlin Heidelberg. ISBN 978-0-387-71816-3 (Accepted/In Press) Official URL: http://www.springer.com/engineering/circuits+%26+systems/book/978-0-387-71816-3 AbstractThe basic arithmetic operations (i.e. addition, multiplication, and inversion) in finite fields, GF(q), where q = pk and p is a prime integer, have several applications in cryptography, such as RSA algorithm, Diffie-Hellman key exchange algorithm [1], the US federal Digital Signature Standard [2], elliptic curve cryptography [3, 4], and also recently identity based cryptography [5, 6]. Most popular finite fields that are heavily used in cryptographic applications due to elliptic curve based schemes are prime fields GF(p) and binary extension fields GF(2n). Recently, identity based cryptography based on pairing operations defined over elliptic curve points has stimulated a significant level of interest in the arithmetic of ternary extension fields, GF(3^n). Available Versions of this Item- Efficient Unified Arithmetic for Hardware Cryptography. (deposited 07 Nov 2008 16:02) [Currently Displayed]
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