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Volumn 77, Issue 261, 2008, Pages 447-473

Correlated algebraic-geometric codes: Improved list decoding over bounded alphabets

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EID: 38849099659     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-07-02012-1     Document Type: Article
Times cited : (14)

References (15)
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    • (1995) Inventiones Mathematicae , vol.121 , pp. 211-222
    • Garcia, A.1    Stichtenoth, H.2
  • 2
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    • On the asymptotic behavior of some towers of function fields over finite fields
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    • _, On the asymptotic behavior of some towers of function fields over finite fields, Journal of Number Theory 61 (1996), no. 2, 248-273. MR1423052 (97i:11067)
    • (1996) Journal of Number Theory , vol.61 , Issue.2 , pp. 248-273
    • Garcia, A.1    Stichtenoth, H.2
  • 4
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    • Venkatesan Guruswami and Atri Rudra, Explicit capacity-achieving list-decodable codes, Proceedings of the 38th ACM Symposium on Theory of Computing, May 2006, pp. 1-10. MR2277125
    • Venkatesan Guruswami and Atri Rudra, Explicit capacity-achieving list-decodable codes, Proceedings of the 38th ACM Symposium on Theory of Computing, May 2006, pp. 1-10. MR2277125
  • 6
    • 0033183669 scopus 로고    scopus 로고
    • Venkatesan Guruswami and Madhu Sudan, Improved decoding of Reed-Solomon and algebraic-geometric codes, IEEE Transactions on Information Theory 45 (1999), 1757-1767. MR1720630 (2000j:94033)
    • Venkatesan Guruswami and Madhu Sudan, Improved decoding of Reed-Solomon and algebraic-geometric codes, IEEE Transactions on Information Theory 45 (1999), 1757-1767. MR1720630 (2000j:94033)
  • 7
    • 0035334492 scopus 로고    scopus 로고
    • Venkatesan Guruswami and Madhu Sudan, On representations of algebraic-geometric codes, IEEE Transactions on Information Theory 47 (May 2001), no. 4, 1610-1613. MR1830110 (2002b:94046)
    • Venkatesan Guruswami and Madhu Sudan, On representations of algebraic-geometric codes, IEEE Transactions on Information Theory 47 (May 2001), no. 4, 1610-1613. MR1830110 (2002b:94046)
  • 9
    • 0345306775 scopus 로고    scopus 로고
    • _, Algebraic soft-decision decoding of Reed-Solomon codes, IEEE Transactions on Information Theory 49 (2003), no. 11, 2809-2825. MR2027561 (2004k:94093)
    • _, Algebraic soft-decision decoding of Reed-Solomon codes, IEEE Transactions on Information Theory 49 (2003), no. 11, 2809-2825. MR2027561 (2004k:94093)
  • 12
    • 0035442521 scopus 로고    scopus 로고
    • Kenneth Shum, Ilia Aleshnikov, P. Vijay Kumar, Henning Stichtenoth, and Vinay Deolalikar, A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound, IEEE Transactions on Information Theory 47 (2001), no. 6, 2225-2241. MR1873198 (2003e:94110)
    • Kenneth Shum, Ilia Aleshnikov, P. Vijay Kumar, Henning Stichtenoth, and Vinay Deolalikar, A low-complexity algorithm for the construction of algebraic-geometric codes better than the Gilbert-Varshamov bound, IEEE Transactions on Information Theory 47 (2001), no. 6, 2225-2241. MR1873198 (2003e:94110)
  • 14
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    • Decoding of Reed-Solomon codes beyond the error-correction bound
    • MR1449766 98f:94024
    • Madhu Sudan, Decoding of Reed-Solomon codes beyond the error-correction bound, Journal of Complexity 13 (1997), no. 1, 180-193. MR1449766 (98f:94024)
    • (1997) Journal of Complexity , vol.13 , Issue.1 , pp. 180-193
    • Sudan, M.1
  • 15
    • 84859625236 scopus 로고
    • Modular curves, Shimura curves, and codes better than the Varshamov-Gilbert bound
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    • Michael A. Tsfasman, Serge G. Vlǎdut, and Thomas Zink, Modular curves, Shimura curves, and codes better than the Varshamov-Gilbert bound, Math. Nachrichten 109 (1982), 21-28. MR705893 (85i:11108)
    • (1982) Math. Nachrichten , vol.109 , pp. 21-28
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.