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Volumn 25, Issue 2, 1997, Pages 401-413

Reed-Muller codes: An ideal theory approach

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EID: 21444459505     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879708825862     Document Type: Article
Times cited : (39)

References (17)
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  • 5
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    • Use of Gröbner bases to decode binary cyclic codes up to the true minimal distance
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    • (1994) IEEE Trans. Inf. Theory , vol.40 , Issue.5 , pp. 1654-1660
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  • 6
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    • Gorenstein algebras and the Cayley-Bacharach theorem
    • E.D. Davis, A.V. Geramita, F. Orecchia. Gorenstein algebras and the Cayley-Bacharach theorem. AMS Proc. 93 (1985), pp. 593-597.
    • (1985) AMS Proc. , vol.93 , pp. 593-597
    • Davis, E.D.1    Geramita, A.V.2    Orecchia, F.3
  • 7
    • 0006682556 scopus 로고
    • Systematic encoding via Gröbner bases for a class of algebraic-geometric codes
    • C. Heegard, J. Little, K. Saints. Systematic encoding via Gröbner bases for a class of algebraic-geometric codes. IEEE Trans. on Inf. Theory, vol.41, no.6 (1995), pp. 1752-1761.
    • (1995) IEEE Trans. on Inf. Theory , vol.41 , Issue.6 , pp. 1752-1761
    • Heegard, C.1    Little, J.2    Saints, K.3
  • 9
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    • Cayley-Bacharach schemes and their canonical modules
    • Sept.
    • A.V. Geramita, M. Kreuzer and L. Robbiano. Cayley-Bacharach schemes and their canonical modules. Transactions of the AMS, vol.339, number 1, Sept. (1993), pp. 163-189.
    • (1993) Transactions of the AMS , vol.339 , Issue.1 , pp. 163-189
    • Geramita, A.V.1    Kreuzer, M.2    Robbiano, L.3
  • 11
    • 25844491311 scopus 로고
    • Zero-dimensional schemes
    • Ravello, 1992. F. Orrechia and L. Chiantini (eds.), Walter de Gruyter, Berlin
    • J.P. Hansen. Zero-dimensional schemes. Proc. Int. Conf., Ravello, 1992. F. Orrechia and L. Chiantini (eds.), Walter de Gruyter, Berlin, (1994).
    • (1994) Proc. Int. Conf.
    • Hansen, J.P.1
  • 12
    • 38249018413 scopus 로고
    • The parameters of the projective Reed-Muller codes
    • G. Lachaud. The parameters of the projective Reed-Muller codes. Discrete Mathematics 81 (1990), pp. 217-221.
    • (1990) Discrete Mathematics , vol.81 , pp. 217-221
    • Lachaud, G.1
  • 14
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    • Linear codes associated to the ideal of points in P and its canonical module
    • C. Rentería, H. Tapia-Recillas. Linear codes associated to the ideal of points in P and its canonical module. Communications in Algebra 24 (3), (1996), pp.1083-1090.
    • (1996) Communications in Algebra , vol.24 , Issue.3 , pp. 1083-1090
    • Rentería, C.1    Tapia-Recillas, H.2
  • 15
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    • On a bound for the number of errors of a class of AG codes
    • C. Rentería, H. Tapia-Recillas. On a bound for the number of errors of a class of AG codes. To appear in C. Numerantium, vol.118-122.
    • C. Numerantium , vol.118-122
    • Rentería, C.1    Tapia-Recillas, H.2
  • 17
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    • Projective Reed-Muller codes
    • Nov.
    • A.B. Sörensen. Projective Reed-Muller codes. IEEE Trans, on Inf. Theory, vol.37, no.6, Nov. (1991), pp. 1567-1576.
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    • Sörensen, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.