PPT-Protecting Obfuscation Against Algebraic Attacks

Boaz Barak Sanjam Garg Yael Tauman Kalai Omer Paneth Amit Sahai Program Obfuscation Public Key     Obfuscation       Virtual BlackBox VBB Barak Goldreich . This note based on a a lecture in the Mathematics Students Seminar at TIFR on September 7 2012 is meant to give an intorduction to algebraic cycles and various adequate equivalence relations on them We then state the Standard Conjecture D and state Unlock stories by generalising . number properties. ANDREW WILES. Why is this man so famous?. Fermat’s last theorem. No positive . integers satisfy the equation:. . n > 2.  . On doing mathematics…. Implausibility of. . Differing-Inputs Obfuscation . (. and . Extractable Witness . Encryption) . with . Auxiliary Input. Daniel . Wichs. . (Northeastern U). with: . Sanjam. . Garg. , Craig Gentry, . Auxiliary Input or a Universal Simulator. Nir. . Bitansky. . Ran Canetti. Henry Cohn. Shafi. . Goldwasser. Yael . Tauman-Kalai. . Omer Paneth. Alon. Rosen. Program Obfuscation. Obfuscated program. 3-Round . Zero-Knowledge. Nir Bitansky and Omer Paneth. Interactive Proofs. An interactive proof . :.  .  .  .  . Interactive Proofs. Negligible. soundness error.  .  .  . Prover’s security . Unlock stories by generalising . number properties. ANDREW WILES. Why is this man so famous?. Fermat’s last theorem. No positive . integers satisfy the equation:. . n > 2.  . On doing mathematics…. Zhicong Huang, Erman Ayday, Jacques Fellay, Jean-Pierre Hubaux, Ari Juels. Presented by Chuong Ngo. The Genomic Future. The Genomic Future. The Genomic Future. The Genomic Future. The Genomic Future. Translate each into an algebraic expression:. Two more than a number. . n. = number. 2+n. Translate each into an algebraic expression:. Two less than a number. n. = the number. n. -2. Translate each into an algebraic expression:. Representations . and . Proof. Learning Focus. Participants will:. deepen mathematical content knowledge of algebraic reasoning. develop awareness of key concepts associated with algebraic reasoning, . for Cryptographic. . Agents. Shashank Agrawal, . Manoj. . Prabhakaran. , . Ching-Hua Yu. Security Guarantee in Cryptography. A cryptographic scheme can provide certain security properties. Modern cryptography have involved properties. 1. Warm Up-Matching. OBJECTIVE. : SWBAT write an algebraic expression from a written expression.. Agenda. 2. Choose . the . numerical expression that . best matches each . written expression.. a) the product of 9 and 3 . Boaz . Barak . Sanjam. . Garg. Yael . Tauman . Kalai . Omer Paneth . Amit . Sahai. Program Obfuscation . Public Key.  .  . Obfuscation.  .  .  . Virtual Black-Box (VBB). [. Barak-. Goldreich. -. Contact: . Ibéria. Medeiros, Nuno . Neves. {. imedeiros. , nuno}@. di.fc.ul.pt. . FCiências.ID / LASIGE, . Faculdade. de . Ciências. , . Universidade. de . Lisboa. www.navigators.di.fc.ul.pt. Databases continue to be the most commonly used backend storage in enterprises, and are employed in several contexts in the electrical grid. They are often integrated with vulnerable applications, such as web frontends, that allow injection attacks to be performed. The effectiveness of such attacks steams from a . Sanjam. . Garg. , Craig Gentry*, . Shai Halevi*. ,. Mariana . Raykova. , . Amit. . Sahai. , Brent Waters. Faces in Modern Cryptography, Oct-2013. A Celebration in Honor of . . Goldwasser. . and .