Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
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[1] Andrew Chi-Chih Yao,et al. Theory and Applications of Trapdoor Functions (Extended Abstract) , 1982, FOCS.
[2] Andrew Chi-Chih Yao,et al. Some complexity questions related to distributive computing(Preliminary Report) , 1979, STOC.
[3] Michael E. Saks,et al. Products and Help Bits in Decision Trees , 1999, SIAM J. Comput..
[4] Fan Chung Graham,et al. Communication Complexity and Quasi Randomness , 1993, SIAM J. Discret. Math..
[5] Noga Alon,et al. Testing Low-Degree Polynomials over GF(2( , 2003, RANDOM-APPROX.
[6] Emanuele Viola,et al. Fooling Parity Tests with Parity Gates , 2004, APPROX-RANDOM.
[7] Vince Grolmusz. Separating the Communication Complexities of MOD m and MOD p Circuits , 1995, J. Comput. Syst. Sci..
[8] Alexander Healy. Randomness-Efficient Sampling Within NC1 , 2006, APPROX-RANDOM.
[9] Emanuele Viola,et al. Hardness amplification proofs require majority , 2008, SIAM J. Comput..
[10] Noam Nisan,et al. On Yao's XOR-Lemma , 1995, Electron. Colloquium Comput. Complex..
[11] Leonid A. Levin,et al. A hard-core predicate for all one-way functions , 1989, STOC '89.
[12] Johan Håstad,et al. On the power of small-depth threshold circuits , 1991, computational complexity.
[13] Moni Naor,et al. Small-bias probability spaces: efficient constructions and applications , 1990, STOC '90.
[14] Arkadev Chattopadhyay. An improved bound on correlation between polynomials over Z_m and MOD_q , 2006, Electron. Colloquium Comput. Complex..
[15] U. Feige. Error reduction by parallel repetition-the state of the art , 1995 .
[16] Pavel Pudlák,et al. Threshold circuits of bounded depth , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).
[17] L. Fortnow. Complexity-Theoretic Aspects of Interactive Proof Systems , 1989 .
[18] W. T. Gowers,et al. A new proof of Szemerédi's theorem , 2001 .
[19] Michael E. Saks,et al. Products and help bits in decision trees , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[20] Avi Wigderson,et al. P = BPP if E requires exponential circuits: derandomizing the XOR lemma , 1997, STOC '97.
[21] Testing low-degree polynomials over prime fields , 2009 .
[22] Roman Smolensky,et al. Algebraic methods in the theory of lower bounds for Boolean circuit complexity , 1987, STOC.
[23] Thomas P. Hayes,et al. The Cost of the Missing Bit: Communication Complexity with Help , 1998, STOC '98.
[24] Emanuele Viola,et al. Pseudorandom bits for constant depth circuits with few arbitrary symmetric gates , 2005, 20th Annual IEEE Conference on Computational Complexity (CCC'05).
[25] Leonid A. Levin,et al. One-way functions and pseudorandom generators , 1985, STOC '85.
[26] Satyanarayana V. Lokam,et al. Communication Complexity of Simultaneous Messages , 2003, SIAM J. Comput..
[27] Richard J. Lipton,et al. Multi-party protocols , 1983, STOC.
[28] Alex Samorodnitsky,et al. Low-degree tests at large distances , 2006, STOC '07.
[29] Ran Raz,et al. A parallel repetition theorem , 1995, STOC '95.
[30] Noam Nisan,et al. Hardness vs Randomness , 1994, J. Comput. Syst. Sci..
[31] Ran Raz,et al. Direct product results and the GCD problem, in old and new communication models , 1997, STOC '97.
[32] Emanuele Viola,et al. New correlation bounds for GF(2) polynomials using Gowers uniformity , 2006, Electron. Colloquium Comput. Complex..
[33] Howard Straubing,et al. Bounds on an exponential sum arising in Boolean circuit complexity , 2005 .
[34] J. Bourgain. Estimation of certain exponential sums arising in complexity theory , 2005 .
[35] Christopher Umans,et al. Simple extractors for all min-entropies and a new pseudorandom generator , 2005, JACM.
[36] Noam Nisan,et al. Pseudorandom bits for constant depth circuits , 1991, Comb..
[37] Atri Rudra,et al. Testing low-degree polynomials over prime fields , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.
[38] Russell Impagliazzo,et al. Hard-core distributions for somewhat hard problems , 1995, Proceedings of IEEE 36th Annual Foundations of Computer Science.
[39] Eyal Kushilevitz,et al. Communication Complexity , 1997, Adv. Comput..
[40] W. T. Gowers,et al. A New Proof of Szemerédi's Theorem for Arithmetic Progressions of Length Four , 1998 .
[41] Noam Nisan,et al. Multiparty Protocols, Pseudorandom Generators for Logspace, and Time-Space Trade-Offs , 1992, J. Comput. Syst. Sci..
[42] Ran Raz,et al. The BNS-Chung criterion for multi-party communication complexity , 2000, computational complexity.
[43] Luca Trevisan,et al. Gowers uniformity, influence of variables, and PCPs , 2005, STOC '06.
[44] Noga Alon,et al. Simple Construction of Almost k-wise Independent Random Variables , 1992, Random Struct. Algorithms.
[45] Avi Wigderson,et al. Deterministic approximate counting of depth-2 circuits , 1993, [1993] The 2nd Israel Symposium on Theory and Computing Systems.
[46] W. T. Gowers,et al. A NEW PROOF OF SZEMER ´ EDI'S THEOREM , 2001 .
[47] Ronen Shaltiel. Towards proving strong direct product theorems , 2003, computational complexity.