Finite fields Combinatorics Algebraic coding theory Cryptography Background in number theory and abstract algebra Hints for selected exercises References Index.
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Preface; 1. Introduction; 2. Linear codes; 3. Introduction to finite fields; 4. Bounds on the parameters of codes; 5. Reed-Solomon codes and related codes; 6. Decoding of Reed-Solomon codes; 7. Structure of finite fields; 8. Cyclic codes; 9. List decoding of Reed-Solomon codes; …
1. Designs 2. Codes 3. Symmetric designs 4. Geometry of vector spaces 5._The standard geometric codes 6. Codes from planes 7. Hadamard designs 8. Steiner systems References.
