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Bounds for codes in products of spaces, Grassmann and Stiefel manifolds

Christine Bachoc·Yael Ben-Haim·Simon Litsyn
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Abstract

Upper bounds are derived for codes in Stiefel and Grassmann manifolds with given minimal chordal distance. They stem from upper bounds for codes in products of unit spheres and projective spaces. The new bounds are asymptotically better than the previously known ones.

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Christine Bachoc, Yael Ben-Haim, Simon Litsyn. 2006-10-26. Bounds for codes in products of spaces, Grassmann and Stiefel manifolds. https://arxiv.org/abs/math/0610813

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