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[Lecture Notes in Mathematics] Coding Theory and Algebraic Geometry Volume 1518 || The domain of covering codes

✍ Scribed by Stichtenoth, Henning; Tsfasman, Michael A.


Book ID
111931441
Publisher
Springer Berlin Heidelberg
Year
1992
Tongue
German
Weight
468 KB
Edition
1992
Category
Article
ISBN
3540556516

No coin nor oath required. For personal study only.

✦ Synopsis


About Ten Years Ago, V.d. Goppa Found A Surprising Connection Between The Theory Of Algebraic Curves Over A Finite Field And Error-correcting Codes. The Aim Of The Meeting Algebraic Geometry And Coding Theory Was To Give A Survey On The Present State Of Research In This Field And Related Topics. The Proceedings Contain Research Papers On Several Aspects Of The Theory, Among Them: Codes Constructed From Special Curves And From Higher-dimensional Varieties, Decoding Of Algebraic Geometric Codes, Trace Codes, Exponen- Tial Sums, Fast Multiplication In Finite Fields, Asymptotic Number Of Points On Algebraic Curves, Sphere Packings. Algebraic Geometry And Coding Theory / H. Stichtenoth, M.a. Tsfasman -- Reed-muller Codes Associated To Projective Algebraic Varieties / Y. Aubry -- Decoding Algebraic-geometric Codes By Solving A Key Equation / D. Ehrhard -- On The Different Of Abelian Extensions Of Global Fields / G. Frey, M. Perret, H. Stichtenoth -- Goppa Codes And Weierstrass Gaps / A. Garcia, R. Lax -- On A Characterization Of Some Minihypers In Pg(t, Q) (q = 3 Or 4) And Its Applications To Error-correcting Codes / N. Hamada, T. Helleseth -- Deligne-lusztig Varieties And Group Codes / J.p. Hansen -- Spectra Of Linear Codes And Error Probability Of Decoding / G.l. Katsman, M.a. Tsfasman, S.g. Vladut -- On The True Minimum Distance Of Hermitian Codes / P.v. Kumar, K. Yang -- Sphere Packings Centered At S-units Of Algebraic Tori / B.e. Kunyavskii -- A Function Field Related To The Ree Group / J.p. Pedersen -- On The Gonality Of Curves, Abundant Codes And Decoding / R. Pellikaan -- Curves With Many Points And Multiplication In Finite Fields / I.e. Shparlinksi, M.a. Tsfasman, S.g. Vladut -- The Domain Of Covering Codes / P. Stokes -- Some Remarks On The Asymptotic Number Of Points / M.a. Tsfasman -- On The Weights Of Trace Codes / C. Voss -- Minoration De Certaines Sommes Exponentielles Binaires / F. Rodier -- Linear Codes, Strata Of Grassmannians, And The Problem Of Segre / A.n. Skorobogatov. H. Stichtenoth, M.a. Tsfasman (eds.). Includes Bibliographical References.


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✍ Cohen, GΓ©rard; Giusti, Marc; Mora, Teo πŸ“‚ Article πŸ“… 1995 πŸ› Springer Berlin Heidelberg 🌐 German βš– 553 KB

This Book Constitutes The Proceedings Of The 11th International Conference On Applied Algebra, Algebraic Algorithms And Error-correcting Codes, Aaecc-11, Held In Paris, France In July 1995. The Volume Presents Five Invited Papers And 32 Full Revised Research Papers Selected From A Total Of 68 Submis