Updated: January
1999
Papers by
Michael A. Tsfasman
Books:
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Algebraic-geometric codes. - Kluwer Acad.Publ., 1991, xxiv+667 pages (With S.G.Vladut)
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Del Pezzo surfaces of degree four. - Memoires de la Societe Math. de France,
Nouvelle serie, # 37, 1989, 112 pages (With B.E.Kunyavskii and A.N.Skorobogatov)
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Coding Theory and Algebraic Geometry. Springer Lect. Notes in Math., v. 1518, 1992
(editor, with H.Stichtenoth)
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Special issue on Algebraic Geometry Codes of IEEE Transactions on Information
Theory, IEEE Trans. Info. Theory, v. 41:6, 1995 (invited editor, with G.Lachaud,
J.Justesen and V.K.-W.Wei)
Reviews:
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Geometric approach to higher weights. - IEEE Trans. Info. Theory, vol.41:6,
1995, pp.1564-1588 (with S.G.Vladut)
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Algebraic curves and sphere packings. - Algebraic Geometry and Coding
Theory - 4, de Gruyter, Berlin, 1996, pp.225-252
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Global fields, codes and sphere packings. - Journees Arithmetiques 1989.
- "Asterisque", 1992, v.198-199-200, pp.373-396
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Algebraic-geometric codes and asymptotic problems. - Applied Algebra and
Error-Correcting Codes. - Discr. Appl. Math., 1991, v.33 , pp.241-256
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Rational varieties: algebra, geometry, arithmetic. - Russian Math. Surveys,
1986, v.41:2, pp.51-116 (With Yu.I.Manin)
Main papers:
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Asymptotic Properties of Global Fields and Generalized Brauer-Siegel Theorem,
Peprint IML-98-35 (Marseille), 1998 (With S.G.Vladut)
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Formules explicites pour le nombre de points des varietes sur un corps
fini. - J. Reine Angew. Math., 1997, v.493, pp.1-60 (with G.Lachaud)
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Asymptotic properties of zeta-functions. - Algebraic Geometry, 7 -
J. Math. Sci. (New York), 1997, v.84:5, pp.1445-1467 (with S.G.Vladut)
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Codes for m-metric. - Problems Inform. Transmission, 1997, v.33:1, pp.45-52
(with M.Yu.Rosenbloom)
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Nombre de points des surfaces sur un corps fini. - Algebraic Geometry
and Coding Theory, de Gruyter, Berlin, 1996, pp.209-224
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The weight hierarchy of higher-dimensional Hermitian codes. - IEEE Trans.Info.Theory,
40:1, 1994, pp.275-278 (with J.W.P.Hirschfeld and S.G.Vladut)
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Some remarks on the asymptotic number of points. - Coding Theory and
Algebraic Geometry. - Lect.Notes in Math., 1992, v.1518, pp.178-192
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Curves with many points and multiplication in finite fields. - Coding Theory
and Algebraic Geometry. - Lect. Notes in Math., 1992, v.1518, pp.145-169
(With I.E.Sparlinskii and S.G.Vladut)
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Spectra of linear codes and error probability of decoding. - Coding Theory
and Algebraic Geometry. - Lect. Notes in Math., 1992, v.1518, pp.82-98
(With G.L.Katsman and S.G.Vladut)
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Multiplicative lattices in global fields. - Invent.Math., 1990, v.101,
pp.687-696 (With M.Yu.Rosenbloom)
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A remark on algebraic-geometric codes. - Contemp.Math., 1989, v.93, pp.197-199
(With G.L.Katsman)
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Arithmetic on singular Del Pezzo surfaces. - Proc. London Math. Soc., 1988,
v.(3) 57, pp.25-87 (With D.Coray)
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Spectra of algebraic-geometric codes. - Probl. Inform. Transmission, 1987,
v.23, pp.262-275 (With G.L.Katsman)
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Constructive high-dimensional sphere packings. - Duke Math. J., 1987, v.54,
pp.147-161 (With S.N.Litsyn)
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Zero-cycles on rational surfaces and Neron-Severi tori. - Math. USSR Izv.,
1985, v.24, pp.583-603 (With B.E.Kunjavskii)
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Modular curves and codes with polynomial construction complexity. - Probl.
Info.Trans., 20, 1984, pp35-42 (With S.G.Vladut and G.L.Katsman)
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Modular curves and codes with polynomial construction. - IEEE Trans. Inform.
Theory, 1984, v.30, pp.353-355 (With S.G.Vladut and G.L.Katsman)
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Modular curves, Shimura curves, and Goppa codes better than the Varshamov-Gilbert
bound. - Math. Nachr., 1982, v.109, pp.21-28 (With S.G.Vladut and T.Zink)
Short notes:
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Introduction to the special issue on algebraic geometry codes. - IEEE Trans.
Info. Theory, v. 41:6, 1995, pp.1545-1546 (with G.Lachaud, J.Justesen and
V.K.-W.Wei)
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Algebraic-geometric codes. An introduction. - Algebraic Geometry and Coding
Theory - 3, 1991. - Lect. Notes in Math., 1992, v.1518, pp.1-3 (With H.Stichtenoth)
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Algebraic-geometric codes on curves of small genera. - Probl. Inform. Transmission,
1987, v.23, pp.34-38 (With A.M.Barg and G.L.Katsman)
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A note on lower bounds. - IEEE Trans.Info.Theory, 1986, v.32, pp.705-706
(With S.N.Litsyn)
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Combinatorics and geometry of Del Pezzo surfaces of degree 4. - Russian
Math. Surveys, 1985, v.40:6, pp.131-132 (With B.E.Kunjavskii and A.N.Skorobogatov)
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Algebraic-geometric and number-theoretic packings of balls in R^N. - Russian
Math. Surveys, 1985, v.40:2, pp.219-220 (With S.N.Litsyn)
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Arithmetic of singular Del Pezzo surfaces. - Russian Math. Surveys, 1983,
v.38:6, pp.137-138
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On Goppa codes which are better than the Varshamov-Gilbert bound. - Probl.Info.Trans.,
1982, v.18, pp.163-166
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On the Neron-Severi torus of a rational surface. - Russian Math. Surveys,
1982, v.37:4, pp.121-122 (With B.E.Kunjavskii)
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The arithmetic of conic bundles. - Russian Math. Surveys, 1982, v.37:2,
pp.263-264
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Moduli of very special Abelian varieties. - Russian Math. Surveys, 1978,
v.33:5, p.211
Short abstracts of talks:
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Algebraic geometry lattices and codes. - Algorithmic number theory (Talence, 1996)
- Lect. Notes in Comp. Sci., v.1122, Springer, Berlin, 1996, pp.385-389
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Geometric approach to higher weights of codes and a problem in cryptography.
- 1993 IEEE Info. Theory Workshop, Susono-shi, Shizuoka, Japan, 1993
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Decoding of algebraic-geometric codes. - 1993 IEEE International Symposium
on Information Theory, San Antonio, Texas, 1993
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Algebraic geometry constructions in coding theory. - Second joint Swedish-Soviet
international workshop on information theory. Proceedings, 1985, p.46-50
(With S.I.Gelfand and S.G.Vladut)
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Good algebraic-geometric codes. - The sixth international symposium
on information theory. Abstracts of papers. Part 2, Moscow-Tashkent, 1984,
p.259-261 (With S.G.Vladut)
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Codes from modular curves. - International workshop "Convolutional
codes; multi-user communication". Abstracts of papers. - Sochi, 1983, p.213-217
(With S.G.Vladut)
Also 25 papers published in Russian.