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
[Lecture Notes in Mathematics] Coding Theory and Algebraic Geometry Volume 1518 || The domain of covering codes
β 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.
β¦ 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.
π SIMILAR VOLUMES
Edited By D.a. Holton And Jennifer Seberry. Conference Held August 16-27, 1977. Includes Bibliographical References.
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