Abstract
Let W(2n+1,q), n≥1, be the symplectic polar space of finite order q and (projective) rank n. We investigate the smallest cardinality of a set of points that meets every generator of W(2n+1,q). For q even, we show that this cardinality is q n+1+q {n−1, and we characterize all sets of this cardinality. For q odd, better bounds are known.
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Metsch, K. Small Point Sets that Meet All Generators of W(2n+1,q). Designs, Codes and Cryptography 31, 283–288 (2004). https://doi.org/10.1023/B:DESI.0000015888.27935.e2
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DOI: https://doi.org/10.1023/B:DESI.0000015888.27935.e2