Titlebook: Algebraic Function Fields and Codes; Henning Stichtenoth Textbook 2009Latest edition Springer-Verlag Berlin Heidelberg 2009 Algebra.Algebr

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certain

He Huang,Philippe Lebeau,Cathy Macharisncepts of coding theory. Then we define algebraic geometry codes (AG codes) and develop their main properties. The codes constructed by means of a rational function field are discussed in detail in Section 2.3.

OUTRE

extinguish

Anton Stipe?,Biljana Mileva Boshkoskar in greater detail the case of a finite constant field. Observe that a finite field is perfect, so that all results from Chapters 3 and 4 apply. We will mainly be interested in the places of degree one of a function field over a finite field. Their number is finite and can be estimated by the Hasse

MULTI

Anton Stipe?,Biljana Mileva Boshkoskasome quadratic extensions of the rational function field (Example 3.7.6). Now we would like to discuss some other examples in detail. These examples serve as an illustration of the general theory of algebraic function fields developed in Chapters 1, 3, 4 and 5. Some of the examples will be used in C

眨眼

Zoran Wittine,Sanja Franc,Antea Bari?i?e Weil Bound . ≤ . + 1 + 2.1/2, and that this upper bound can be attained only if . ≤ (. ? .1/2)/2. Here our aim is to investigate what happens if the genus is large with respect to .. The results of this chapter have interesting applications in coding theory, see Section 8.4.

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https://doi.org/10.1007/978-3-540-76878-4Algebra; Algebraische Funktionenk?rper; Codierungstheorie; Funktionen; algebraic curves; algebraic functi

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978-3-642-09556-6Springer-Verlag Berlin Heidelberg 2009

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