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Candidate Multilinear Maps (Hardcover)
Loot Price: R1,804
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Candidate Multilinear Maps (Hardcover)
Series: ACM Books
Expected to ship within 10 - 15 working days
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The aim of cryptography is to design primitives and protocols that
withstand adversarial behavior. Information theoretic cryptography,
how-so-ever desirable, is extremely restrictive and most
non-trivial cryptographic tasks are known to be information
theoretically impossible. In order to realize sophisticated
cryptographic primitives, we forgo information theoretic security
and assume limitations on what can be efficiently computed. In
other words we attempt to build secure systems conditioned on some
computational intractability assumption such as factoring, discrete
log, decisional Diffie-Hellman, learning with errors, and many
more. In this work, based on the 2013 ACM Doctoral Dissertation
Award-winning thesis, we put forth new plausible lattice-based
constructions with properties that approximate the sought after
multilinear maps. The multilinear analog of the decision
Diffie-Hellman problem appears to be hard in our construction, and
this allows for their use in cryptography. These constructions open
doors to providing solutions to a number of important open
problems.
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