Algebraic coding theory / Elwyn R. Berlekamp.

Format:

Book

Author/Creator:

Berlekamp, Elwyn R.

Language:

English

Subjects (All):

Coding theory.

Physical Description:

xiv, 474 pages : illustrations ; 24 cm

Edition:

Revised edition.

Place of Publication:

Laguna Hills, CA : Aegean Park Press, 1984.

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.

Notes:

Includes bibliographical references (pages 443-459) and index.

ISBN:

0894120638

9780894120633

OCLC:

10787423