Thomas
Wollinger
Software and Hardware Implementation
of Hyperelliptic Curve Cryptosystems
Wollinger, Thomas
Software and Hardware Implementation of
Hyperelliptic Curve Cryptosystems
(European University
Press) ISBN: 978-3-86515-025-7
Paperback
218 pp. - 20.5 x 13.5
cm, 24.90 Eur[D]
Series
IT-Security vol. 3
ISSN
1864-1709, EUR 24.90
Contents
The
hyperelliptic curve cryptosystems (HECC) is one of the emerging
cryptographic primitives of the last years. HECC offers the same
security as established public-key cryptosystems with much shorter
operand length. However, until recently the common belief was that HEC
are out of scope for any practical application, because of the complex
group operation.
The thesis at hand is a step towards the practical use of HECC by
narrowing the performance gap between elliptic curve (ECC) and HECC. We
were able to reduce the complexity of the group operation for small
genus hyperelliptic curves. Our theoretical comparison between ECC and
HECC, as well as our software and hardware implementations show that
the performance of both cryptographic primitives is in the same range.
The implementations we investigated range from a general purpose
processor to a variety of different embedded processors, and also
include the prototype implementation of a HEC coprocessor on FPGAs.
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