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- W2014143478 abstract "The notion of t-design in a Grassmannian space Gm,n was introduced by the first and last authors and G. Nebe in a previous paper. In the present work, we give a general lower bound for the size of such designs. The method is inspired by Delsarte, Goethals and Seidel work in the case of spherical designs. This leads us to introduce a notion of f-code in Grassmannian spaces, for which we obtain upper bounds, as well as a kind of duality tight-designs/tight-codes. The bounds are in terms of the dimensions of the irreducible representations of the orthogonal group O(n) occurring in the decomposition of the space L2(Gm,n°) of square integrable functions on Gm,n°, the set of oriented Grassmanianns." @default.
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- W2014143478 date "2004-02-01" @default.
- W2014143478 modified "2023-10-11" @default.
- W2014143478 title "Codes and designs in Grassmannian spaces" @default.
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- W2014143478 doi "https://doi.org/10.1016/s0012-365x(03)00151-1" @default.
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