Handbook of coding theory. Vol. 1. Part 1: Algebraic coding. Vol. 2. Part 2: Connections, Part 3: Applications.

*(English)*Zbl 0907.94001
Amsterdam: Elsevier. 2169 p. (1998).

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It is definitely a must for every library.

The articles of this volume will be reviewed individually.

Indexed articles:

Pless, Vera S.; Huffman, W. Cary; Brualdi, Richard A., An introduction to algebraic codes, 3-139 [Zbl 0919.94049]

Pless, Vera, Coding constructions, 141-176 [Zbl 0924.94037]

Rains, Eric M.; Sloane, N. J. A., Self-dual codes, 177-294 [Zbl 0936.94017]

Brouwer, A. E., Bounds on the size of linear codes, 295-461 [Zbl 0936.94015]

Litsyn, Simon, An updated table of the best binary codes known, 463-498 [Zbl 0968.94019]

Levenshtein, Vladimir I., Universal bounds for codes and designs, 499-648 [Zbl 0983.94056]

Barg, Alexander, Complexity issues in coding theory, 649-754 [Zbl 0929.94028]

Brualdi, Richard A.; Litsyn, Simon; Pless, Vera S., Covering radius, 755-826 [Zbl 0922.94020]

Ward, Harold N., Quadratic residue codes and divisibility, 827-870 [Zbl 0922.94012]

Høholdt, Tom; van Lint, Jacobus H.; Pellikaan, Ruud, Algebraic geometry codes, 871-961 [Zbl 0922.94015]

Charpin, Pascale, Open problems on cyclic codes, 963-1063 [Zbl 0927.94017]

McEliece, Robert J., The algebraic theory of convolutional codes, 1065-1138 [Zbl 0967.94020]

Honkala, Iiro; Tietäväinen, Aimo, Codes and number theory, 1141-1194 [Zbl 0929.94032]

van Tilborg, Henk C. A., Coding theory at work in cryptology and vice versa, 1195-1227 [Zbl 0967.94010]

Tonchev, Vladimir D., Codes and designs, 1229-1267 [Zbl 0922.94011]

Assmus, E. F. jun.; Key, J. D., Polynomial codes and finite geometries, 1269-1343 [Zbl 0980.94038]

Huffman, W. Cary, Codes and groups, 1345-1440 [Zbl 0926.94039]

Camion, Paul, Codes and association schemes: Basic properties of association schemes relevant to coding, 1441-1566 [Zbl 0978.94048]

Blahut, Richard E., Decoding of cyclic codes and codes on curves, 1569-1633 [Zbl 0922.94018]

Marcus, Brian H.; Roth, Ron M.; Siegel, Paul H., Constrained systems and coding for recording channels, 1635-1764 [Zbl 0983.94015]

Helleseth, Tor; Kumar, P. Vijay, Sequences with low correlation, 1765-1853 [Zbl 0924.94027]

Blaum, Mario; Farrell, Patrick G.; van Tilborg, Henk C. A., Array codes, 1855-1909 [Zbl 0978.94044]

Dumer, Ilya I., Concatenated codes and their multilevel generalizations, 1911-1988 [Zbl 0967.94029]

Vardy, Alexander, Trellis structure of codes, 1989-2117 [Zbl 0922.94013]

Wicker, Stephen B., Deep space applications, 2119-2169 [Zbl 0978.94049]

Reviewer: O.Ninnemann (Berlin)