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
[Lecture Notes in Mathematics] Coding Theory and Algebraic Geometry Volume 1518 || On the true minimum distance of Hermitian codes
β Scribed by Stichtenoth, Henning; Tsfasman, Michael A.
- Book ID
- 121080177
- Publisher
- Springer Berlin Heidelberg
- Year
- 1992
- Tongue
- German
- Weight
- 499 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
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
This Book Constitutes The Refereed Proceedings Of The 15th International Symposium On Applied Algebra, Algebraic Algorithms And Error-correcting Codes, Aaecc-15, Held In Toulouse, France, In May 2003.the 25 Revised Full Papers Presented Together With 2 Invited Papers Were Carefully Reviewed And Sele