Titlebook: Codes on Algebraic Curves; Serguei A. Stepanov Book 1999 Kluwer Academic/Plenum Publishers 1999 Prime.Prime number.algebra.algebraic curve

exercise

水汽

Securing Industrial Control SystemsThe existence of good codes coming from classical modular curves is substantiated by the following three phenomena:

CHIDE

震惊

Electrolysis

https://doi.org/10.1007/978-1-4614-1674-6The significance of geometric Goppa codes is clarified when we consider asymptotic problems.

EWE

Codes and Their ParametersIn this chapter the basic notions of the theory of error-correcting codes are introduced: the Hamming distance, parameters of codes, linear codes, encoding and decoding procedures, spectrum and duality, the MacWilliams identity and Krawtchouk polynomials.

hardheaded

REP

痛恨

VAN

Constructions and PropertiesThis chapter describes Goppa’s construction of linear error-correcting codes coming from algebraic curves over finite fields. There exist several essentially equivalent ways to construct such codes. The first to be considered is the so-called .-construction.