메뉴 건너뛰기




Volumn , Issue , 2010, Pages 291-298

On matrix rigidity and locally self-correctable codes

Author keywords

Arithmetic circuits; Complexity; Matrices

Indexed keywords

ARITHMETIC CIRCUIT; LINEAR FUNCTIONS; LOCALLY-DECODABLE CODES; LOWER BOUNDS; MATRIX; MATRIX RIGIDITY; NATURAL PROPERTIES; NEW APPROACHES; REED-MULLER CODES; SUPERLINEAR;

EID: 77955233118     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2010.35     Document Type: Conference Paper
Times cited : (25)

References (22)
  • 2
    • 0036957230 scopus 로고    scopus 로고
    • Breaking the o(n1/(2k-1)) barrier for information-theoretic private information retrieval
    • IEEE Computer Society
    • Amos Beimel, Yuval Ishai, Eyal Kushilevitz, and Jean-François Raymond. Breaking the o(n1/(2k-1)) barrier for information-theoretic private information retrieval. In FOCS, pages 261-270. IEEE Computer Society, 2002.
    • (2002) FOCS , pp. 261-270
    • Beimel, A.1    Ishai, Y.2    Kushilevitz, E.3    Raymond, J.-F.4
  • 4
    • 0029214558 scopus 로고
    • Designing programs that check their work
    • Manuel Blum and Sampath Kannan. Designing programs that check their work. J. ACM, 42(1):269-291, 1995.
    • (1995) J. ACM , vol.42 , Issue.1 , pp. 269-291
    • Blum, M.1    Kannan, S.2
  • 7
    • 70350642094 scopus 로고    scopus 로고
    • 3-query locally decodable codes of subexponential length
    • Michael Mitzenmacher, editor, ACM
    • Klim Efremenko. 3-query locally decodable codes of subexponential length. In Michael Mitzenmacher, editor, STOC, pages 39-44. ACM, 2009.
    • (2009) STOC , pp. 39-44
    • Efremenko, K.1
  • 8
    • 33751051992 scopus 로고    scopus 로고
    • Lower bounds for linear locally decodable codes and private information retrieval
    • DOI 10.1007/s00037-006-0216-3
    • Oded Goldreich, Howard J. Karloff, Leonard J. Schulman, and Luca Trevisan. Lower bounds for linear locally decodable codes and private information retrieval. Computational Complexity, 15(3):263-296, 2006. (Pubitemid 44757259)
    • (2006) Computational Complexity , vol.15 , Issue.3 , pp. 263-296
    • Goldreich, O.1    Karloff, H.2    Schulman, L.J.3    Trevisan, L.4
  • 11
    • 4544225791 scopus 로고    scopus 로고
    • Exponential lower bound for 2-query locally decodable codes via a quantum argument
    • Iordanis Kerenidis and Ronald de Wolf. Exponential lower bound for 2-query locally decodable codes via a quantum argument. J. Comput. Syst. Sci., 69(3):395-420, 2004.
    • (2004) J. Comput. Syst. Sci. , vol.69 , Issue.3 , pp. 395-420
    • Kerenidis, I.1    De Wolf, R.2
  • 12
    • 0033720713 scopus 로고    scopus 로고
    • On the efficiency of local decoding procedures for error-correcting codes
    • Jonathan Katz and Luca Trevisan. On the efficiency of local decoding procedures for error-correcting codes. In STOC, pages 80-86, 2000.
    • (2000) STOC , pp. 80-86
    • Katz, J.1    Trevisan, L.2
  • 13
    • 85032506453 scopus 로고
    • Efficient checking of computations
    • Christian Choffrut and Thomas Lengauer, editors, STACS, Springer
    • Richard J. Lipton. Efficient checking of computations. In Christian Choffrut and Thomas Lengauer, editors, STACS, volume 415 of Lecture Notes in Computer Science, pages 207-215. Springer, 1990.
    • (1990) Lecture Notes in Computer Science , vol.415 , pp. 207-215
    • Lipton, R.J.1
  • 14
    • 33745872254 scopus 로고    scopus 로고
    • Quadratic lower bounds on matrix rigidity
    • Jin yi Cai, S. Barry Cooper, and Angsheng Li, editors, TAMC, Springer
    • Satyanarayana V. Lokam. Quadratic lower bounds on matrix rigidity. In Jin yi Cai, S. Barry Cooper, and Angsheng Li, editors, TAMC, volume 3959 of Lecture Notes in Computer Science, pages 295-307. Springer, 2006.
    • (2006) Lecture Notes in Computer Science , vol.3959 , pp. 295-307
    • Lokam, S.V.1
  • 18
    • 33748588052 scopus 로고    scopus 로고
    • Some applications of coding theory in computational complexity
    • Luca Trevisan. Some applications of coding theory in computational complexity. Quaderni di Matematica, 13:2004, 2004.
    • (2004) Quaderni di Matematica , vol.13 , pp. 2004
    • Trevisan, L.1
  • 19
    • 85016972944 scopus 로고
    • Graph-theoretic arguments in low-level complexity
    • Jozef Gruska, editor, MFCS, Springer
    • Leslie G. Valiant. Graph-theoretic arguments in low-level complexity. In Jozef Gruska, editor, MFCS, volume 53 of Lecture Notes in Computer Science, pages 162-176. Springer, 1977.
    • (1977) Lecture Notes in Computer Science , vol.53 , pp. 162-176
    • Valiant, L.G.1
  • 22
    • 40549114927 scopus 로고    scopus 로고
    • Towards 3-query locally decodable codes of subexponential length
    • Sergey Yekhanin. Towards 3-query locally decodable codes of subexponential length. J. ACM, 55(1), 2008.
    • (2008) J. ACM , vol.55 , Issue.1
    • Yekhanin, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.