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Bounds on the size of linear codes. (English) Zbl 0936.94015

Pless, V. S. (ed.) et al., Handbook of coding theory. Vol. 1. Part 1: Algebraic coding. Vol. 2. Part 2: Connections, Part 3: Applications. Amsterdam: Elsevier. 295-461 (1998).
For the entire collection see Zbl 0907.94001. This chapter gives upper and lower bounds on the size of linear block codes over a finite field. The known algebraic bounds are surveyed as well as numerous methods for constructing codes. Extensive tables of bounds for codes over GF(2), GF(3), GF(4), GF(5), GF(7), GF(8) and GF(9) are given. The tables are also available at a WWW server:
http://www.win.tue.nl/~aeb/voorlincod.html
Over 250 references to codes and bounds are given.

MSC:

94B05 Linear codes (general theory)
94-02 Research exposition (monographs, survey articles) pertaining to information and communication theory
94B65 Bounds on codes

Citations:

Zbl 0907.94001

Software:

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