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Volumn 53, Issue 4, 2006, Pages 558-655

Locally testable codes and PCPs of almost-linear length

Author keywords

Derandomization; Error correcting codes; Probabilistically checkable proofs; Proof verification

Indexed keywords

DERANDOMIZATION; ERROR CORRECTING CODES; PROBABILISTICALLY CHECKABLE PROOFS; PROOF VERIFICATION;

EID: 33748921409     PISSN: 00045411     EISSN: 00045411     Source Type: Journal    
DOI: 10.1145/1162349.1162351     Document Type: Article
Times cited : (137)

References (32)
  • 2
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of of approximation problems
    • ARORA, S., LUND, C., MOTWANI, R., SUDAN M., AND SZEGEDY, M. 1998. Proof verification and the hardness of of approximation problems. J. ACM, 45, 3 (May), 501-555.
    • (1998) J. ACM , vol.45 , Issue.3 MAY , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checkable proofs: A new characterization of NP
    • ARORA, S., AND SAFRA, S. 1998. Probabilistic checkable proofs: A new characterization of NP. J. ACM 45, 1 (Jan.), 70-122.
    • (1998) J. ACM , vol.45 , Issue.1 JAN. , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 4
    • 0347589496 scopus 로고    scopus 로고
    • Improved low degree testing and its applications
    • ARORA, S., AND SUDAN, M. 2003. Improved low degree testing and its applications. Combinatorica 23, 3, 365-426
    • (2003) Combinatorica , vol.23 , Issue.3 , pp. 365-426
    • Arora, S.1    Sudan, M.2
  • 6
    • 0002771903 scopus 로고
    • Non-deterministic exponential time has two-prover interactive protocols
    • BABAI, L., FORTNOW, L., AND LUND. C. 1991b. Non-deterministic exponential time has two-prover interactive protocols. Comput. Complex. 1, 13-40.
    • (1991) Comput. Complex , vol.1 , pp. 13-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 8
    • 0542423500 scopus 로고    scopus 로고
    • Free bits, PCPs, and nonapproximability - Towards tight results
    • BELLARE, M. GOLDREICH, O., AND SUDAN, M. 1998. Free bits, PCPs, and nonapproximability - towards tight results. SIAM J. Comput. 27, 3, 804-915.
    • (1998) SIAM J. Comput. , vol.27 , Issue.3 , pp. 804-915
    • Bellare, M.1    Goldreich, O.2    Sudan, M.3
  • 14
    • 0000619172 scopus 로고
    • Self-testing/correcting with applications to numerical problems
    • BLUM, M., LUBY, M., AND RUBINFELD, R. 1993. Self-testing/correcting with applications to numerical problems. J. Comput. Syst. Sci. 47, 3, 549-595.
    • (1993) J. Comput. Syst. Sci. , vol.47 , Issue.3 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 18
    • 0021420540 scopus 로고
    • The complexity of promise problems with applications to public-key cryptography
    • EVEN, S., SELMAN, A. L., AND YACOBI, Y. 1984. The complexity of promise problems with applications to public-key cryptography. Info. Control 61, 2 (May), 159-173.
    • (1984) Info. Control , vol.61 , Issue.2 MAY , pp. 159-173
    • Even, S.1    Selman, A.L.2    Yacobi, Y.3
  • 19
    • 0030100766 scopus 로고    scopus 로고
    • Interactive proofs and the hardness of approximating cliques
    • FEIGE, U., GOLDWASSER, S. LOVÁSZ, L., SAFRA, S., AND SZEGEDY, M. 1996. Interactive proofs and the hardness of approximating cliques. J. ACM, 43, 268-292.
    • (1996) J. ACM , vol.43 , pp. 268-292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3    Safra, S.4    Szegedy, M.5
  • 22
    • 0032108275 scopus 로고    scopus 로고
    • Property testing and its connection to learning and approximation
    • GOLDREICH, O., GOLDWASSER, S., AND D. RON. 1998. Property testing and its connection to learning and approximation. J. ACM, 653-750.
    • (1998) J. ACM , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 25
    • 0034563592 scopus 로고    scopus 로고
    • Small PCPs with low query complexity
    • HARSHA, P., AND SUDAN. M. 2000. Small PCPs with low query complexity. Computat. Complex. 9, (3-4), 157-201.
    • (2000) Computat. Complex , vol.9 , Issue.3-4 , pp. 157-201
    • Harsha, P.1    Sudan, M.2
  • 28
    • 33748936033 scopus 로고    scopus 로고
    • Algebraic testing and weight distribution of dual codes
    • KIWI, M. 2003. Algebraic testing and weight distribution of dual codes. TR97-010.
    • (2003) TR97-010
    • Kiwi, M.1
  • 31
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP
    • ACM, New York
    • RAZ, R., AND SAFRA, S. 1997. A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP. In Proceedings of the 29th Annual ACM Symposium on the Theory of Computing. ACM, New York, 475-484.
    • (1997) Proceedings of the 29th Annual ACM Symposium on the Theory of Computing , pp. 475-484
    • Raz, R.1    Safra, S.2
  • 32
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterization of polynomials with applications to program testing
    • RUBINFELD, R., AND SUDAN, M. 1996. Robust characterization of polynomials with applications to program testing. SIAM J. Comput. 25, (2) (Apr.), 252-271.
    • (1996) SIAM J. Comput. , vol.25 , Issue.2 APR. , pp. 252-271
    • Rubinfeld, R.1    Sudan, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.