메뉴 건너뛰기




Volumn 2003-January, Issue , 2003, Pages 116-125

Locally testable cyclic codes

Author keywords

Computer science; Testing

Indexed keywords

CODES (SYMBOLS); COMPUTER SCIENCE; HAMMING DISTANCE; TESTING;

EID: 17744386581     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SFCS.2003.1238186     Document Type: Conference Paper
Times cited : (2)

References (23)
  • 2
    • 0032058198 scopus 로고    scopus 로고
    • Proof Verification and Intractability of Approximation Problems
    • S. ARORA, C. LUND, R. MOTWANI, M. SUDAN, M. SZEGEDY: Proof Verification and Intractability of Approximation Problems. J. ACM 45 (1998), 501-555.
    • (1998) J. ACM , vol.45 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistically Checkable Proofs: A New Characterization of NP
    • S. ARORA, M. SAFRA: Probabilistically Checkable Proofs: A New Characterization of NP. J. ACM 45 (1998), 70-122.
    • (1998) J. ACM , vol.45 , pp. 70-122
    • Arora, S.1    Safra, M.2
  • 4
    • 0040553020 scopus 로고
    • Representation of Group elements as short products
    • "Theory and Practice of Combinatorics" (A. Rosa, G. Sabidussi, J. Turgeon eds.)
    • L. BABAI, P. ERDO{combining double acute accent}S: Representation of Group elements as short products. In: "Theory and Practice of Combinatorics" (A. Rosa, G. Sabidussi, J. Turgeon eds.) Annals of Discrete Math. 12 (1982), 27-30.
    • (1982) Annals of Discrete Math. , vol.12 , pp. 27-30
    • Babai, L.1    Erdos, P.2
  • 5
    • 0002771903 scopus 로고
    • Nondeterministic exponential time has two-prover interactive protocols
    • L. BABAI, L. FORTNOW, C. LUND: Nondeterministic exponential time has two-prover interactive protocols. Computational Complexity 1 (1991), 3-40.
    • (1991) Computational Complexity , vol.1 , pp. 3-40
    • Babai, L.1    Fortnow, L.2    Lund, C.3
  • 9
    • 0038784507 scopus 로고    scopus 로고
    • Randomness-efficient low degree tests and short PCPs via epsilon-biased sets
    • E. BEN SASSON, M. SUDAN, S. VADHAN, A. WIGDERSON: Randomness-efficient low degree tests and short PCPs via epsilon-biased sets. 35th ACM STOC, 2003, pp. 612-621.
    • 35th ACM STOC, 2003 , pp. 612-621
    • Ben Sasson, E.1    Sudan, M.2    Vadhan, S.3    Wigderson, A.4
  • 10
    • 0001831583 scopus 로고
    • Semisimple Cyclic and Abelian Codes
    • S. D. BERMAN: Semisimple Cyclic and Abelian Codes. Cybernetics 3 (1967), 21-30.
    • (1967) Cybernetics , vol.3 , pp. 21-30
    • Berman, S.D.1
  • 11
    • 0000619172 scopus 로고
    • Self-Testing/Correcting with Application to Numerical Problems
    • M. BLUM, M. LUBY, R. RUBINFELD: Self-Testing/Correcting with Application to Numerical Problems. JCSS 47(3) (1993), 549-595.
    • (1993) JCSS , vol.47 , Issue.3 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 13
    • 0042632392 scopus 로고    scopus 로고
    • A search for Wieferich and Wilson primes
    • R. CRANDALL, K. DILCHER, C. POMERANCE: A search for Wieferich and Wilson primes. Math. Comp. 66 (1997), 433-449.
    • (1997) Math. Comp. , vol.66 , pp. 433-449
    • Crandall, R.1    Dilcher, K.2    Pomerance, C.3
  • 17
    • 0036949141 scopus 로고    scopus 로고
    • Locally testable codes and PCPs of almost linear length
    • O. GOLDREICH, M. SUDAN: Locally testable codes and PCPs of almost linear length. 43rd IEEE FOCS, 2002, pp. 13-22.
    • 43rd IEEE FOCS, 2002 , pp. 13-22
    • Goldreich, O.1    Sudan, M.2
  • 18
    • 0033720713 scopus 로고    scopus 로고
    • On the efficiency of local decoding procedures for error-correcting codes
    • J. KATZ, L. TREVISAN: On the efficiency of local decoding procedures for error-correcting codes. 32nd ACM STOC, 2000, pp. 80-86.
    • 32nd ACM STOC, 2000 , pp. 80-86
    • Katz, J.1    Trevisan, L.2
  • 19
    • 0038107747 scopus 로고    scopus 로고
    • Exponential lower bound for 2-query locally decodable codes via a quantum argument
    • I. KERENIDIS, R. DE WOLF: Exponential lower bound for 2-query locally decodable codes via a quantum argument. 35th ACM STOC, 2003, pp. 106-115.
    • 35th ACM STOC, 2003 , pp. 106-115
    • Kerenidis, I.1    De Wolf, R.2
  • 22
    • 0344407409 scopus 로고
    • Technical report Air Force Cambridge Research Center, Cambridge, Mass.
    • E. PRANGE: Cyclic Error-Correcting codes in two symbols. Technical report AFCRC-TN-57-103, Air Force Cambridge Research Center, Cambridge, Mass. 1957.
    • (1957) Cyclic Error-Correcting Codes in Two Symbols
    • Prange, E.1
  • 23
    • 0011032035 scopus 로고
    • Zum letzten Fermat'chen Theorem
    • A. WIEFERICH: Zum letzten Fermat'chen Theorem. J. Reine Angew. Math. 136 (1909), 293-302.
    • (1909) J. Reine Angew. Math. , vol.136 , pp. 293-302
    • Wieferich, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.