Linear programming bounds for codes in grassmannian spaces
Christine Bachoc · IEEE Transactions on Information Theory · 2006
In this paper, we develop the linear programming method to obtain bounds for the cardinality of Grassmannian codes endowed with the chordal distance. We obtain a bound and its asymptotic version that generalize the well-known bound for codes in the real projective space obtained by Kabatyanskiy and Levenshtein, and improve the Hamming bound for sufficiently large minimal distances