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Cryptography Boot Camp 2015

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The Mathematics of Lattices IVinod Vaikuntanathan01h 08m
Introduces lattices as integer linear combinations and frames the key problems: SVP (shortest nonzero vector) and SIVP (short independent vectors). States…
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The Mathematics of Lattices IIVinod Vaikuntanathan01h 04m
Defines short integer solutions (SIS) and decisional LWE and gives the concrete reductions: SIS yields collision-resistant hashes, LWE (search ↔ decisional up…
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Fully Homomorphic Encryption IShai Halevi45m
Explains a concrete LWE-based GSW scheme that turns ciphertexts into matrices and uses a gadget matrix/G inverse decomposition so long-entry matrices become…
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Fully Homomorphic Encryption IIShai Halevi01h 04m
Shows how bootstrapping/recryption turns a bounded-depth GSW-style scheme into fully homomorphic encryption by homomorphically evaluating decryption, with the…
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Multilinear Maps and Attacks ISanjam Garg01h 00m
Describes lattice-based multilinear maps built over R = Z[x]/(x^n+1) with encodings as short numerators modulo an ideal generated by a small g and masked by…
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Multilinear Maps and Attacks IISanjam Garg51m
Describes concrete breaks of candidate multilinear maps: publishing encodings of zero and a zero-test value lets an attacker recover short CRT components (a…
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Obfuscation IAmit Sahai58m
Proposes a concrete candidate for indistinguishability obfuscation that encodes matrix branching programs with Kilian randomization and multilinear-map…
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Obfuscation IIAmit Sahai01h 02m
Candidate obfuscator compiles circuits into a matrix branching program randomized by Kilian randomization and protected by multilinear encodings and per-input…
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Applications of Obfuscation ICraig Gentry01h 12m
Defines indistinguishability obfuscation and shows concrete consequences: builds witness encryption from IO, derives public‑key encryption by publishing…
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Applications of Obfuscation IICraig Gentry50m
Shows that indistinguishability obfuscation yields extraction when two circuits differ on a single input by using a binary search extract over obfuscated…
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Delegating Computation IYael Tauman Kalai59m
Constructs a practical path from multiprover proofs to a single-cloud protocol: a two-message delegation scheme for RAM-style computations whose verifier time…
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Delegating Computation IIYael Tauman Kalai01h 06m
Constructs a no-signaling MIP for deterministic time-T computations that yields a two-message delegation protocol after composing with fully homomorphic…
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Secure Multiparty Computation IYuval Ishai58m
Covers when MPC is possible and how: information-theoretic security needs an honest majority (<k/2 corrupted) while computational security (via OT hybrid…
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Secure Multiparty Computation IIYuval Ishai01h 10m
Uses a correlated randomness dealer that gives each party additive shares of a shifted truth table (random cyclic DX,DY) so online the parties exchange only…
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Garbled Circuits IBenny Applebaum01h 07m
Starts from precise definitions of garbled circuits as randomized encodings and works through simple encodings to a general template that yields Yao-style…
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Garbled Circuits IIBenny Applebaum44m
Benny Applebaum, Tel Aviv University Cryptography Boot Camp http://simons.berkeley.edu/talks/benny-applebaum-2015-05-21b
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Oblivious RAM IElaine Shi, Daniel Wichs01h 15m
Describes why encrypted memory leaks via access patterns in SGX and cloud settings then gives concrete ORAM constructions, costs, and implementations. Tree…
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Oblivious RAM IIElaine Shi, Daniel Wichs01h 06m
Describes two concrete advances and what they actually build: an OnionORAM that achieves constant communication per access by shaving the usual log N factor at…
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Differential Privacy: Fundamentals to Forefront ICynthia Dwork01h 00m
Formalizes differential privacy as outputs changing by at most an e^epsilon factor when any one person is added or removed; gives concrete mechanisms…
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Differential Privacy: Fundamentals to Forefront IICynthia Dwork01h 10m
Defines the privacy loss random variable and relaxes pure privacy to epsilon delta so composition error grows like √k (with log(1/δ) factors) instead of k…
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