1 Table of Contents: “...1. Rational Codes -- 2. Decoding and Rational Approximations -- 3. Algebraic Curves -- 4...”

2 Table of Contents: “...1. Codes -- 1.1. Codes and their parameters -- 1.2. Examples and constructions -- 1.3. Asymptotic...”

3 Table of Contents: “... and multiplication in finite fileds -- The domain of covering codes -- Some remarks on the asymptotic number...”

4 Table of Contents: “...Abelian Varieties -- Refined Bounds -- Codes and Curves -- Deligne-Lusztig Spaces -- Drinfeld...”

5 Subjects: “...Number theory...”

6 Table of Contents: “... of algebraic curves to computational vision -- Coding theory and algebraic curves over finite fields -- Three...”

7 Table of Contents: “... algebraic curves over finite fields -- The Poincaré polynomial of a linear code -- The Metric Structure...”

8 “..., their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes...”

9 “... and that has essential applications in areas such as finite geometry, number theory, error-correcting codes...”

10 Table of Contents: “... to the Dodecahedral Conjecture Based on Bounds for Spherical Codes (Anstreicher) -- On Minimal Tilings with Convex...”

11 Table of Contents: “... in undirected graphs -- Mauro Di Nasso: A taste of nonstandard methods in combinatorics of numbers -- Béla...”

12 “...This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory...”

13 Table of Contents: “... for Wu-Ritt Characteristic Sets -- Noetherian Properties and Growth of some Associative Algebras -- Codes...”

14 “... found applications for instance in ancient and m- ern architectural designs, in number theoretic...”

15 “... providing publically available numerical codes in this field. Thus this volume illustrates which software...”

16 Table of Contents: “... Mathematics: 10 Distances in Algebra -- 11 Distances on Strings and Permutations -- 12 Distances on Numbers...”

17 Table of Contents: “... Mathematics: 10 Distances in Algebra -- 11 Distances on Strings and Permutations -- 12 Distances on Numbers...”

18 Table of Contents: “... on Numbers, Polynominals and Matrices -- 13 Distances in Functional Analysis -- 14 Distances in Probability...”

19 Table of Contents: “...Incidence Structures and Steiner Designs -- Permutation Groups and Group Actions -- Number...”

20 “...Algebra and number theory have always been counted among the most beautiful and fundamental...”