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Codes on Algebraic Curves epub download

by Serguei A. Stepanov


Codes on Algebraic Curves. This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes.

Codes on Algebraic Curves. eBook 139,09 €. price for Russian Federation (gross). There are four main divisions in the book. The first is a brief exposition of basic concepts and facts of the theory of error-correcting codes (Part I). The second is a complete presentation of the theory of algebraic curves, especially the curves defined over finite fields (Part II). The third is a detailed description of the theory of classical modular curves and their reduction modulo a prime number (Part III).

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes.

The theory of curves over finite fields as covered in Stepanov’s book is quite similar in scope and content to the monograph of Schmidt, although Stepanov’s book has the added advantage of including numerous exercises. There are similarly other sources for the theory of curves over global (. number) fields, in particular Lang’s classic and Serre’s book. However, both of these require a much greater background in algebraic geometry than does Stepanov’s book, both follow the classical (as opposed to the non-standard) approach to proving the finiteness of C(R)

Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem.

Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.

Books listed by ISBN Da Capo Press Serguei A. Stepanov. Codes on Algebraic Curves. 978-O-3O6-46144-6 (O-3O6-46144-7). A. Stepanov · s. · S A S · S. A Stepanov · S S · S. Stepanov · Serguei Stepanov.

Stepanov thoroughly investigates the current.

Recipient Union of the Soviet Socialist Republics State Prize Soviet Government, 1975. Lieutenant Higher Military School, 1958-1960. Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics). Stepanov thoroughly investigates the current. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods.

Codes on Algebraic Curves (Softcover Reprint of the Origi). Springer Us, Springer.

Codes on Algebraic Curves, Kluwer 1999. sometimes transliterated Serguei A. Stepanov, . Arithmetic of Algebraic Curves, New York, Plenum Publishing 1994, Russian original: Moscow, Nauka, 1991. S. Stepanov, An elementary method in algebraic number theory, Translated from Matematicheskie Zametki, Vol. 24, No. 3, pp. 425–431, September 1978. a b Steklov Mathematical Institute

oceedings{Stepanov1999CodesOA, title {Codes on Algebraic Curves}, author {S. Applicable Algebra in Engineering, Communication and Computing.

oceedings{Stepanov1999CodesOA, title {Codes on Algebraic Curves}, author {S. Stepanov}, year {1999} }. I. Error-Correcting Codes. 1 Codes and Their Parameters.

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes. There are four main divisions in the book. The first is a brief exposition of basic concepts and facts of the theory of error-correcting codes (Part I). The second is a complete presentation of the theory of algebraic curves, especially the curves defined over finite fields (Part II). The third is a detailed description of the theory of classical modular curves and their reduction modulo a prime number (Part III). The fourth (and basic) is the construction of geometric Goppa codes and the production of asymptotically good linear codes coming from algebraic curves over finite fields (Part IV). The theory of geometric Goppa codes is a fascinating topic where two extremes meet: the highly abstract and deep theory of algebraic (specifically modular) curves over finite fields and the very concrete problems in the engineering of information transmission. At the present time there are two essentially different ways to produce asymptotically good codes coming from algebraic curves over a finite field with an extremely large number of rational points. The first way, developed by M. A. Tsfasman, S. G. Vladut and Th. Zink [210], is rather difficult and assumes a serious acquaintance with the theory of modular curves and their reduction modulo a prime number. The second way, proposed recently by A.

Codes on Algebraic Curves epub download

ISBN13: 978-0306461446

ISBN: 0306461447

Author: Serguei A. Stepanov

Category: Computers and Technology

Subcategory: Programming

Language: English

Publisher: Kluwer Academic/Plenum Publishers; 1999 edition (July 31, 1999)

Pages: 350 pages

ePUB size: 1814 kb

FB2 size: 1367 kb

Rating: 4.4

Votes: 323

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