메뉴 건너뛰기




Volumn 31, Issue 2, 2004, Pages 169-188

On Koetter's Algorithm and the Computation of Error Values

Author keywords

Algebraic geometry codes; Error evaluation; Key equation

Indexed keywords

ALGEBRAIC GEOMETRY CODES; ERROR EVALUATION; KEY EQUATION;

EID: 1242352553     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:DESI.0000012445.67356.7a     Document Type: Article
Times cited : (3)

References (19)
  • 1
    • 0027596957 scopus 로고
    • Achieving the designed error capacity in decoding algebraic-geometric codes
    • D. Ehrhard, Achieving the designed error capacity in decoding algebraic-geometric codes, IEEE Trans. Inform. Theory, Vol. 39, No. 3 (1993) pp. 743-751.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , Issue.3 , pp. 743-751
    • Ehrhard, D.1
  • 2
    • 0008680935 scopus 로고
    • Decoding algebraic-geometric codes by solving a key equation
    • Lect. Notes in Mathematics, Springer, Berlin
    • D. Ehrhard, Decoding algebraic-geometric codes by solving a key equation, In Proc. AGCT-3, Luminy 1991, Lect. Notes in Mathematics, Vol. 1518, Springer, Berlin (1992) pp. 18-25.
    • (1992) Proc. AGCT-3, Luminy 1991 , vol.1518 , pp. 18-25
    • Ehrhard, D.1
  • 3
    • 0027311434 scopus 로고
    • Decoding algebraic-geometry codes up to the designed minimum distance
    • G. L. Feng and T. R. N. Rao, Decoding algebraic-geometry codes up to the designed minimum distance, IEEE Trans. Inform. Theory, Vol. 39, No. 1 (1993) pp. 37-45.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , Issue.1 , pp. 37-45
    • Feng, G.L.1    Rao, T.R.N.2
  • 4
    • 0032162534 scopus 로고    scopus 로고
    • Determination of error values for algebraic geometry codes and the Forney formula
    • J. P. Hansen, H. E. Jensen and R. Koetter, Determination of error values for algebraic geometry codes and the Forney formula, IEEE Trans. Inform. Theory, Vol. 44, No. 5 (1998) pp. 1881-1886.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , Issue.5 , pp. 1881-1886
    • Hansen, J.P.1    Jensen, H.E.2    Koetter, R.3
  • 5
    • 0001609376 scopus 로고    scopus 로고
    • Algebraic geometry codes
    • W. C. Huffmann and V. Pless eds., Elsevier
    • T. Høholdt, R. Pellikaan and J. H. van Lint, Algebraic geometry codes, In (W. C. Huffmann and V. Pless eds.), Handbook of Coding Theory, Elsevier (1998) pp. 871-961.
    • (1998) Handbook of Coding Theory , pp. 871-961
    • Høholdt, T.1    Pellikaan, R.2    Van Lint, J.H.3
  • 8
    • 0032122036 scopus 로고    scopus 로고
    • A fast parallel implementation of a Berlekamp-Massey algorithm for algebraic-geometric codes
    • R. Koetter, A fast parallel implementation of a Berlekamp-Massey algorithm for algebraic-geometric codes, IEEE Trans. Inform. Theory, Vol. 44, No. 4 (1998) pp. 1353-1368.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , Issue.4 , pp. 1353-1368
    • Koetter, R.1
  • 9
    • 0008699912 scopus 로고    scopus 로고
    • On the determination of error values for codes from a class of maximal curves
    • University of Illinois
    • R. Koetter, On the determination of error values for codes from a class of maximal curves, In Proc. 35th Allerton Conf. on Communication, Control and Computing, University of Illinois (1997) pp. 44-53.
    • (1997) Proc. 35th Allerton Conf. on Communication, Control and Computing , pp. 44-53
    • Koetter, R.1
  • 10
    • 0003672945 scopus 로고
    • Interscience Tracts in Pure and Applied Mathematics No. 5, Interscience Publishers, New York
    • S. Lang, Introduction to Algebraic Geometry, Interscience Tracts in Pure and Applied Mathematics No. 5, Interscience Publishers, New York (1958).
    • (1958) Introduction to Algebraic Geometry
    • Lang, S.1
  • 11
    • 0003956970 scopus 로고
    • Addison-Wesley Pub. Co., Reading, Mass.
    • S. Lang, Algebra, third ed., Addison-Wesley Pub. Co., Reading, Mass. (1993).
    • (1993) Algebra, Third Ed.
    • Lang, S.1
  • 12
    • 0001144118 scopus 로고
    • Decoding of codes defined by a single point on a curve
    • M. E. O'Sullivan, Decoding of codes defined by a single point on a curve, IEEE Trans. Inform. Theory, Vol. 41, No. 6 (1995) pp. 1709-1719.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , Issue.6 , pp. 1709-1719
    • O'Sullivan, M.E.1
  • 13
    • 0037165604 scopus 로고    scopus 로고
    • The key equation for one-point codes
    • M. E. O'Sullivan, The key equation for one-point codes, J. Pure Appl. Algebra, Vol. 169, No. 2-3 (2002) pp. 295-320.
    • (2002) J. Pure Appl. Algebra , vol.169 , Issue.2-3 , pp. 295-320
    • O'Sullivan, M.E.1
  • 14
    • 0005742820 scopus 로고    scopus 로고
    • New codes for the Berlekamp-Massey-Sakata algorithm
    • M. E. O'Sullivan, New codes for the Berlekamp-Massey-Sakata algorithm, Finite Fields Applic., Vol. 7 (2001) pp. 293-317.
    • (2001) Finite Fields Applic. , vol.7 , pp. 293-317
    • O'Sullivan, M.E.1
  • 15
    • 0026953491 scopus 로고
    • Decoding geometric Goppa codes using an extra place
    • S. C. Porter, B.-Z. Shen and R. Pellikaan, Decoding geometric Goppa codes using an extra place, IEEE Trans. Inform. Theory, Vol. 38, No. 6 (1992) pp. 1663-1676.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.6 , pp. 1663-1676
    • Porter, S.C.1    Shen, B.-Z.2    Pellikaan, R.3
  • 16
    • 0025383036 scopus 로고
    • Extension of the Berlekamp-Massey algorithm to N dimensions
    • S. Sakata, Extension of the Berlekamp-Massey algorithm to N dimensions, Information and Computation, Vol. 84 (1990) pp. 207-239.
    • (1990) Information and Computation , vol.84 , pp. 207-239
    • Sakata, S.1
  • 17
    • 0001072540 scopus 로고
    • Generalized Berlekamp-Massey decoding of algebraic-geometric codes up to half the Feng-Rao bound
    • S. Sakata, H. E. Jensen and T. Høholdt, Generalized Berlekamp-Massey decoding of algebraic-geometric codes up to half the Feng-Rao bound, IEEE Trans. Inform. Theory, Vol. 41, No. 6 (1992) pp. 1762-1768.
    • (1992) IEEE Trans. Inform. Theory , vol.41 , Issue.6 , pp. 1762-1768
    • Sakata, S.1    Jensen, H.E.2    Høholdt, T.3
  • 18
    • 0008707089 scopus 로고
    • Decoding geometric Goppa codes up to the designed minimum distance by solving a key equation in a ring
    • B.-Z. Shen and K. K. Tzeng, Decoding geometric Goppa codes up to the designed minimum distance by solving a key equation in a ring, IEEE Trans. Inform. Theory, Vol. 41, No. 6 (1995) pp. 1694-1702.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , Issue.6 , pp. 1694-1702
    • Shen, B.-Z.1    Tzeng, K.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.