Title: Algebraic coding theory /
Authors: Berlekamp, Elwyn R.
Publisher: Aegean Park Press,
Year: 1984
Subjects: Coding theory.
Contents: 1. Basic binary codes -- 2. Arithmetic operations modulo an irreducible binary polynomial -- 3. The number of irreducible q-ary polynomials of given degree -- 4. The structure of finite fields -- 5. Cyclic binary codes -- 6. The factorization of polynomials over finite fields -- 7. Binary BCH codes for correcting multiple errors -- 8. Nonbinary coding -- 9. Negacyclic codes for the Lee metric -- 10. Gorenstein-Zierler generalized nonbinary BCH codes for the Hamming metric -- 11. Linearized polynomials and affine polynomials -- 12. The enumeration of information symbols in BCH codes -- 13. The information rate of the optimum codes -- 14. Codes derived by modifying or combining other codes -- 15. Other important coding and decoding methods -- 16. Weight enumerators.