## An introduction to algebraic and combinatorial coding theory |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Finite Fields and Coding Theory | 1 |

Combinatorial Constructions and Coding | 95 |

Coding and Combinatorics | 170 |

Copyright | |

3 other sections not shown

### Other editions - View all

An Introduction to Algebraic and Combinatorial Coding Theory Ian F. Blake,Ronald C. Mullin Limited preview - 2014 |

### Common terms and phrases

algebra basis BCH code BIBD binary code bound chain group chapter code of length code over GF(q code vectors codeword coding theory coefficients column consider construction coordinate positions Corollary cyclic code defined Definition dendroid denote dimension distinct EG(m EG(n elements of GF(q equation equidistant code equivalent exists finite fields flat in PG(n GF(p GF(qm Golay code GRM code Hadamard matrix hence implies incidence matrix incidence vectors irreducible polynomial Lemma length pms linear code MacWilliams majority logic decodable matrix H matroid minimal polynomial minimum distance minimum weight nomial obtained parameters parity check matrix PG(m plane of order points polynomial code polynomial of degree positive integer prime primitive element projective geometry projective geometry code projective plane Proof Let quadratic residue root of unity self-dual codes splitting field Steiner system subfield subset subspace Suppose symmetric tuples vector space weight enumerator zero