## Codes, designs, and geometryCodes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field. |

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### Contents

Preface Vladimir Tonchev | 1 |

SomeHomogeneous Sets of Permutations | 25 |

Focusing Linearity on Greedy Codes | 35 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

1996 Kluwer Academic 2-design algebraic B-basis B-greedy B-ordering basis binary code block graph Brualdi and Pless code arising codewords columns computed construction contains Corollary curve defined denote desarguesian planes desarguesian projective plane design of points difference matrices dimension divisor element entries exactly example exists finite fields forced greedy code forcing linearity g-values geometries GF(q GF(s GF(u greedy algorithm Hadamard designs Hadamard matrices Hence hyperplane incidence matrix incidence structure incidence vectors irreducible conic isomorphic J. A. Thas k-arc Lemma linear codes Math MDS code Michigan Technological University minimum-weight vectors multiples multiset order q oval design p-rank pair of rows parallel class parity check matrix partial flock Penttila permutations Perpendicular Arrays PG(n plane of order points of Q prime power projective plane Proof quadric Reed-Muller code regular hyperoval Royle self-orthogonal greedy code span Steiner triple systems strongly regular graph Theorem 2.3 Theory triangular greedy codes