High-rate codes with sublinear-time decoding
暂无分享,去创建一个
Shubhangi Saraf | Sergey Yekhanin | Swastik Kopparty | S. Yekhanin | Swastik Kopparty | Shubhangi Saraf
[1] Tadao Kasami,et al. New generalizations of the Reed-Muller codes-I: Primitive codes , 1968, IEEE Trans. Inf. Theory.
[2] Avi Wigderson,et al. P = BPP if E requires exponential circuits: derandomizing the XOR lemma , 1997, STOC '97.
[3] O. Antoine,et al. Theory of Error-correcting Codes , 2022 .
[4] Klim Efremenko,et al. 3-Query Locally Decodable Codes of Subexponential Length , 2008 .
[5] Madhu Sudan,et al. Improved Low-Degree Testing and its Applications , 1997, STOC '97.
[6] Tao Feng,et al. Query-Efficient Locally Decodable Codes of Subexponential Length , 2010, computational complexity.
[7] David P. Woodruff. New Lower Bounds for General Locally Decodable Codes , 2007, Electron. Colloquium Comput. Complex..
[8] LundCarsten,et al. Algebraic methods for interactive proof systems , 1992 .
[9] Venkatesan Guruswami,et al. Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy , 2005, IEEE Transactions on Information Theory.
[10] Irving S. Reed,et al. A class of multiple-error-correcting codes and the decoding scheme , 1954, Trans. IRE Prof. Group Inf. Theory.
[11] Sergey Yekhanin,et al. Towards 3-query locally decodable codes of subexponential length , 2008, JACM.
[12] Adi Shamir,et al. IP = PSPACE , 1992, JACM.
[13] Luca Trevisan,et al. Pseudorandom generators without the XOR Lemma (extended abstract) , 1999, STOC '99.
[14] Zeev Dvir,et al. Matching Vector Codes , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.
[15] Ronald de Wolf,et al. Exponential lower bound for 2-query locally decodable codes via a quantum argument , 2002, STOC '03.
[16] Luca Trevisan,et al. Lower bounds for linear locally decodable codes and private information retrieval , 2002, Proceedings 17th IEEE Annual Conference on Computational Complexity.
[17] Christopher Umans,et al. Simple extractors for all min-entropies and a new pseudorandom generator , 2005, JACM.
[18] Carsten Lund,et al. Non-deterministic exponential time has two-prover interactive protocols , 2005, computational complexity.
[19] Madhu Sudan,et al. Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers , 2009, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.
[20] Rafail Ostrovsky,et al. Batch codes and their applications , 2004, STOC '04.
[21] Richard J. Lipton,et al. Efficient Checking of Computations , 1990, STACS.
[22] Luca Trevisan,et al. Pseudorandom generators without the XOR Lemma , 1999, Electron. Colloquium Comput. Complex..
[23] Chaoping Xing,et al. Nonlinear codes from algebraic curves improving the Tsfasman-Vladut-Zink bound , 2003, IEEE Transactions on Information Theory.
[24] Swastik Kopparty. List-Decoding Multiplicity Codes , 2012, Theory Comput..
[25] Madhu Sudan,et al. Improved lower bound on the size of Kakeya sets over finite fields , 2008, 0808.2499.
[26] Kenji Obata,et al. Optimal Lower Bounds for 2-Query Locally Decodable Linear Codes , 2002, RANDOM.
[27] Sergey Yekhanin,et al. Locally Decodable Codes , 2012, Found. Trends Theor. Comput. Sci..
[28] Venkatesan Guruswami,et al. Improved decoding of Reed-Solomon and algebraic-geometry codes , 1999, IEEE Trans. Inf. Theory.
[29] Carsten Lund,et al. Proof verification and the hardness of approximation problems , 1998, JACM.
[30] Venkatesan Guruswami,et al. "Soft-decision" decoding of Chinese remainder codes , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[31] F. Torres,et al. Algebraic Curves over Finite Fields , 1991 .
[32] Dan Suciu,et al. Journal of the ACM , 2006 .
[33] Leonid A. Levin,et al. Checking computations in polylogarithmic time , 1991, STOC '91.
[34] Yasuhiro Suzuki,et al. Improved Constructions for Query-Efficient Locally Decodable Codes of Subexponential Length , 2008, IEICE Trans. Inf. Syst..
[35] Luca Trevisan,et al. Lower bounds for linear locally decodable codes and private information retrieval , 2006, computational complexity.
[36] Jaikumar Radhakrishnan,et al. Better lower bounds for locally decodable codes , 2002, Proceedings 17th IEEE Annual Conference on Computational Complexity.
[37] Venkatesan Guruswami,et al. Improved decoding of Reed-Solomon and algebraic-geometric codes , 1998, Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280).
[38] Noam Nisan,et al. BPP has subexponential time simulations unlessEXPTIME has publishable proofs , 1991, [1991] Proceedings of the Sixth Annual Structure in Complexity Theory Conference.
[39] Zeev Dvir. On Matrix Rigidity and Locally Self-correctable Codes , 2010, 2010 IEEE 25th Annual Conference on Computational Complexity.
[40] Zeev Dvir. On Matrix Rigidity and Locally Self-Correctable Codes , 2010, Computational Complexity Conference.
[41] Madhu Sudan,et al. Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms , 2001, AAECC.
[42] Carsten Lund,et al. Algebraic methods for interactive proof systems , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[43] Jonathan Katz,et al. On the efficiency of local decoding procedures for error-correcting codes , 2000, STOC '00.
[44] David P. Woodruff,et al. A geometric approach to information-theoretic private information retrieval , 2005, 20th Annual IEEE Conference on Computational Complexity (CCC'05).
[45] Alexander Vardy,et al. Correcting errors beyond the Guruswami-Sudan radius in polynomial time , 2005, 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05).
[46] Joan Feigenbaum,et al. Hiding Instances in Multioracle Queries , 1990, STACS.
[47] Carsten Lund,et al. Non-deterministic exponential time has two-prover interactive protocols , 1992, computational complexity.
[48] Prasad Raghavendra,et al. A Note on Yekhanin's Locally Decodable Codes , 2007, Electron. Colloquium Comput. Complex..
[49] Ronald de Wolf,et al. Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval , 2004, ICALP.
[50] Sanjeev Arora,et al. Probabilistic checking of proofs: a new characterization of NP , 1998, JACM.
[51] Amnon Ta-Shma,et al. Local List Decoding with a Constant Number of Queries , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.
[52] Venkatesan Guruswami,et al. Optimal Rate List Decoding via Derivative Codes , 2011, APPROX-RANDOM.