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Volumn , Issue , 2008, Pages 285-294

Combinatorial construction of locally testable codes

Author keywords

Theory

Indexed keywords

COMPUTATION THEORY; MACHINERY;

EID: 57049085865     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1374376.1374419     Document Type: Conference Paper
Times cited : (13)

References (19)
  • 1
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    • Noga Alon, Jehoshua Brack, Joseph Naor, Moni Naor, and R,on M. Roth. Construction of asymptotically good low rate error-correcting codes through pseudo-random graphs. IEEE Transactions on Information Theory, 38:509-516, 1992.
    • Noga Alon, Jehoshua Brack, Joseph Naor, Moni Naor, and R,on M. Roth. Construction of asymptotically good low rate error-correcting codes through pseudo-random graphs. IEEE Transactions on Information Theory, 38:509-516, 1992.
  • 2
    • 0032058198 scopus 로고
    • Proof verification and intractability of approximation problems
    • 501-555, Preliminary version in FOCS
    • Sanjeev Arora, Carsten Lund, Rajeevi Motwani, Madhu Sudan, and Mario Szegedy. Proof verification and intractability of approximation problems. Journal of ACM, 45(3):501-555, 1998. Preliminary version in FOCS 1992.
    • (1992) Journal of ACM , vol.45 , Issue.3
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 0031651077 scopus 로고
    • Probabilistic checkable proofs: A new characterization of np
    • 70-122, Preliminary version in FOCS
    • Sanjeev Arora and Shmuel Safra. Probabilistic checkable proofs: A new characterization of np. Journal of ACM volume, 45(1):70-122, 1998. Preliminary version in FOCS 1992.
    • (1992) Journal of ACM volume , vol.45 , Issue.1
    • Arora, S.1    Safra, S.2
  • 5
    • 26944453726 scopus 로고    scopus 로고
    • Robust locally testable codes and products of codes
    • Eli Ben-Sasson and Madhu Sudan. Robust locally testable codes and products of codes. In APPROX-RANDOM, pages 286-297, 2004.
    • (2004) APPROX-RANDOM , pp. 286-297
    • Ben-Sasson, E.1    Sudan, M.2
  • 6
    • 34848899251 scopus 로고    scopus 로고
    • Eli Ben-Sasson and Madhu Sudan. Simple peps with poly-log rate and query complexity. In STOC, pages 266-275, 2005. Full version can be obtained from Eli Ben-Sasson's homepage at http://www.cs.technion.ac.il/~eli/.
    • Eli Ben-Sasson and Madhu Sudan. Simple peps with poly-log rate and query complexity. In STOC, pages 266-275, 2005. Full version can be obtained from Eli Ben-Sasson's homepage at http://www.cs.technion.ac.il/~eli/.
  • 8
    • 34250354807 scopus 로고    scopus 로고
    • The pcp theorem by gap amplification
    • lilt Dinur. The pcp theorem by gap amplification. Journal of ACM, 54(3):241-250, 2007.
    • (2007) Journal of ACM , vol.54 , Issue.3 , pp. 241-250
    • lilt Dinur1
  • 9
    • 17744364546 scopus 로고    scopus 로고
    • eingold. Assignment testers: Towards combinatorial proof of the pcp theorem
    • Irit Dinur and Omer R.eingold. Assignment testers: Towards combinatorial proof of the pcp theorem. SIAM Journal of Computing, 36(4):155-164, 2006.
    • (2006) SIAM Journal of Computing , vol.36 , Issue.4 , pp. 155-164
    • Dinur, I.1    Omer, R.2
  • 10
    • 33750077781 scopus 로고    scopus 로고
    • Robust local testability of tensor products of ldpc codes
    • Irit Dinur, Madhu Sudan, and Avi Wigderson. Robust local testability of tensor products of ldpc codes. In APPROX-RANDOM, pages 304-315, 2006.
    • (2006) APPROX-RANDOM , pp. 304-315
    • Dinur, I.1    Sudan, M.2    Wigderson, A.3
  • 13
    • 0036949141 scopus 로고    scopus 로고
    • Locally testable codes and peps of almost linear length
    • 558-655, Preliminary version in FOCS
    • Oded Goldreich and Madhu Sudan. Locally testable codes and peps of almost linear length. Journal of ACM, 53(4):558-655, 2006. Preliminary version in FOCS 2002, pages 13-22.
    • (2002) Journal of ACM , vol.53 , Issue.4 , pp. 13-22
    • Goldreich, O.1    Sudan, M.2
  • 14
    • 46749103721 scopus 로고    scopus 로고
    • Sparse random linear codes are locally decodable and testable
    • Tali Kaufman and Madhu Sudan. Sparse random linear codes are locally decodable and testable. In FOCS, pages 590-600, 2007.
    • (2007) FOCS , pp. 590-600
    • Kaufman, T.1    Sudan, M.2
  • 16
    • 0027929411 scopus 로고
    • Nearly-linear size holographic proofs
    • Alexander Polishchuk and Daniel A. Spielman. Nearly-linear size holographic proofs. In STOC, pages 194-203, 1994.
    • (1994) STOC , pp. 194-203
    • Polishchuk, A.1    Spielman, D.A.2
  • 17
    • 0034503724 scopus 로고    scopus 로고
    • Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
    • Omer Reingold, Salil Vadhan, and Avi Wigderson. Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors. In FOCS, pages 3-13, 2000.
    • (2000) FOCS , pp. 3-13
    • Reingold, O.1    Vadhan, S.2    Wigderson, A.3
  • 18
    • 26944481662 scopus 로고    scopus 로고
    • Algorithmic introduction to coding theory (lecture notes
    • Available from ,mit.edu/~madhu/FT01
    • Madhu Sudan. Algorithmic introduction to coding theory (lecture notes), 2001. Available from http://theory.csail,mit.edu/~madhu/FT01/.
    • (2001)
    • Sudan, M.1
  • 19
    • 26944435870 scopus 로고    scopus 로고
    • The tensor product of two codes is not necessarily robustly testable
    • Paul Valiant. The tensor product of two codes is not necessarily robustly testable. In APPROX-RANDOM, pages 472-481, 2005.
    • (2005) APPROX-RANDOM , pp. 472-481
    • Valiant, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.