The cryptosystems based on the Integer Factorization Problem
(IFP), the Discrete Logarithm Problem (DLP) and the Elliptic Curve
Discrete Logarithm Problem (ECDLP) are essentially the only three
types of practical public-key cryptosystems in use. The security of
these cryptosystems relies heavily on these three infeasible
problems, as no polynomial-time algorithms exist for them so far.
However, polynomial-time quantum algorithms for IFP, DLP and ECDLP
do exist, provided that a practical quantum computer exists.
"Quantum Attacks on Public-Key Cryptosystems" presemts almost
allknown quantum computing based attacks on public-key
cryptosystems, with an emphasis on quantum algorithms for IFP, DLP,
and ECDLP. It also discusses some quantum resistant cryptosystems
to replace the IFP, DLP and ECDLP based cryptosystems.
This book is intended to be used either as a graduate text in
computing, communications and mathematics, or as a basic reference
in the field.
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