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A combinatorial characterization of the testable graph properties: It's all about regularity
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ACM, New York
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Alon, N., Fischer, E., Newman, I., Shapira, A.: A combinatorial characterization of the testable graph properties: it's all about regularity. In: Proceedings of the 38th Annual ACM Symposium on Theory of Computing, Seattle, WA, USA, May 21-23, pp. 251-260. ACM, New York (2006)
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Testing Reed-Muller codes
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Probabilistic checking of proofs: A new characterization of NP
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Arora, S., Safra, S.: Probabilistic checking of proofs: A new characterization of NP. Journal of the ACM 45(1), 70-122 (1998)
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Rank bounds for design matrices with applications to combinatorial geometry and locally correctable codes
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To appear in STOC 2011
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Barak, B., Dvir, Z., Wigderson, A., Yehudayoff, A.: Rank bounds for design matrices with applications to combinatorial geometry and locally correctable codes. In: Electronic Colloquium on Computational Complexity (ECCC), vol. 17, p. 149 (2010); To appear in STOC 2011
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On locally decodable codes, self-correctable codes, and t-private PIR
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Barkol, O., Ishai, Y., Weinreb, E.: On locally decodable codes, self-correctable codes, and t-private PIR. Algorithmica 58, 831-859 (2010)
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Algorithmica
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On sums of locally testable affine invariant properties
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Ben-Sasson, E., Grigorescu, E., Maatouk, G., Shpilka, A., Sudan, M.: On sums of locally testable affine invariant properties. In: Electronic Colloquium on Computational Complexity (ECCC), vol. 18, p. 79 (2011)
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Symmetric LDPC codes are not necessarily locally testable
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To appear in CCC 2011
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Ben-Sasson, E., Maatouk, G., Shpilka, A., Sudan, M.: Symmetric LDPC codes are not necessarily locally testable. In: Electronic Colloquium on Computational Complexity (ECCC), vol. 17, p. 199 (2010); To appear in CCC 2011
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Graph limits and parameter testing
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ACM, New York
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Borgs, C., Chayes, J.T., Lovász, L., Sós, V.T., Szegedy, B., Vesztergombi, K.: Graph limits and parameter testing. In: Proceedings of the 38th Annual ACM Symposium on Theory of Computing, Seattle, WA, USA, May 21-23, pp. 261-270. ACM, New York (2006)
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Private information retrieval
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Chor, B., Goldreich, O., Kushilevitz, E., Sudan, M.: Private information retrieval. Journal of the ACM 45(6), 965-981 (1998)
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Journal of the ACM
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Property testing and its connection to learning and approximation
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Goldreich, O., Goldwasser, S., Ron, D.: Property testing and its connection to learning and approximation. Journal of the ACM 45(4), 653-750 (1998)
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Journal of the ACM
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2-transitivity is insufficient for local testability
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IEEE Computer Society, Los Alamitos
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Grigorescu, E., Kaufman, T., Sudan, M.: 2-transitivity is insufficient for local testability. In: Proceedings of the 23rd Annual IEEE Conference on Computational Complexity, CCC 2008, College Park, Maryland, USA, June 23-26, pp. 259-267. IEEE Computer Society, Los Alamitos (2008)
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Proceedings of the 23rd Annual IEEE Conference on Computational Complexity, CCC 2008, College Park, Maryland, USA, June 23-26
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Succinct Representation of Codes with Applications to Testing
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Dinur, I., Jansen, K., Naor, J., Rolim, J.D.P. (eds.) APPROX-RANDOM 2009. Springer, Heidelberg
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Grigorescu, E., Kaufman, T., Sudan, M.: Succinct Representation of Codes with Applications to Testing. In: Dinur, I., Jansen, K., Naor, J., Rolim, J.D.P. (eds.) APPROX-RANDOM 2009. LNCS, vol. 5687, pp. 534-547. Springer, Heidelberg (2009)
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Testing low-degree polynomials over prime fields
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Jutla, C.S., Patthak, A.C., Rudra, A., Zuckerman, D.: Testing low-degree polynomials over prime fields. Random Struct. Algorithms 35(2), 163-193 (2009)
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On the efficiency of local decoding procedures for errorcorrecting codes
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ACM, New York
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Katz, J., Trevisan, L.: On the efficiency of local decoding procedures for errorcorrecting codes. In: Proceedings of the Thirty-Second Annual ACM Symposium on Theory of Computing, STOC 2000, pp. 80-86. ACM, New York (2000)
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Testing polynomials over general fields
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Kaufman, T., Ron, D.: Testing polynomials over general fields. SIAM J. on Computing 36(3), 779-802 (2006)
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SIAM J. on Computing
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Testing of exponentially large codes, by a new extension to Weil bound for character sums
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Kaufman, T., Lovett, S.: Testing of exponentially large codes, by a new extension to Weil bound for character sums. In: Electronic Colloquium on Computational Complexity (ECCC), vol. 17, p. 65 (2010)
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Algebraic property testing: The role of invariance
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Dwork, C. (ed.) ACM, New York
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Kaufman, T., Sudan, M.: Algebraic property testing: the role of invariance. In: Dwork, C. (ed.) Proceedings of the 40th Annual ACM Symposium on Theory of Computing, Victoria, British Columbia, Canada, May 17-20, pp. 403-412. ACM, New York (2008)
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Robust characterizations of polynomials with applications to program testing
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