Matrix Factorization over $GF(2)$ and Trace-Orthogonal Bases of $GF(2^n )$
โ Scribed by Lempel, Abraham
- Book ID
- 118161164
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1975
- Tongue
- English
- Weight
- 712 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0097-5397
- DOI
- 10.1137/0204014
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๐ SIMILAR VOLUMES
A 2 -(v,k,A;q) design is a pair (V,23) of a v-dimensional vector space V over GF(q) and a collection 23 of k-dimensional subspaces of V such that each 2-dimensional subspace of V is contained in exactly A members of 23. Assuming transitivity of their automorphism groups on the nonzero vectors of V,
Let V = V(n,q) denote the vector space of dimension n over GF(q). A set of subspaces of V is called a partition of V if every nonzero vector in V is contained in exactly one subspace of V. Given a partition P of V with exactly a i subspaces of dimension i for 1 โค i โค n, we have n i=1 a i (q i -1) =