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Can I read A Coding Theoretic Approach to Extending Designs on EtoBox?
A Coding Theoretic Approach to Extending Designs by George T. Kennedy; Vera Pless is a Computer Science article available to read on EtoBox.
What is A Coding Theoretic Approach to Extending Designs about?
We introduce the study of designs in a coset of a binary code which can be held by vectors of a fixed weight. If C is a binary [2n, n, d] code with n odd and the words of weights n -1 and n + 1 hold complementary t-designs, then we show that the vectors of weight n in a coset of weight 1 also hold a t-design. We also show how to "extend" these designs. We then consider designs in cosets of type I self-dual codes, in particular in the shadow. If the vectors of a fixed weight in the code hold t-designs then so do the vectors of a fixed weight in the shadow. For [24k -2,12k -1,2 + 4/c] type I codes, these designs extend to designs in the type II parent code.
Who reads A Coding Theoretic Approach to Extending Designs?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- George T. Kennedy; Vera Pless
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0012-365X)
- Published
- 1995
- Language
- EN
- Field
- Computer Science (Physical Sciences)