Jin-Ming Cao

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Let m2(n, q), m′2(n, q) be, respectively, the maximum value, the second largest value of k for which there exists a complete k-cap in PG(n, q). In this paper, the known upper bound onm′2(3, q), q even, q ≥ 128, is improved. This new upper bound onm ′ 2(3, q) is then used to improve the upper bounds onm2(n, q), q even, q ≥ 128 and n ≥ 4. However, only when q(More)
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