An asymptotic Gilbert-Varshamov bound for -nets.
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An extremal doubly even self-dual code of length 112.
Harada, Masaaki (2008)
The Electronic Journal of Combinatorics [electronic only]
An Improvement to the Achievement of the Griesmer Bound
Hamada, Noboru, Maruta, Tatsuya (2010)
Serdica Journal of Computing
We denoted by nq(k, d), the smallest value of n for which an [n, k, d]q code exists for given q, k, d. Since nq(k, d) = gq(k, d) for all d ≥ dk + 1 for q ≥ k ≥ 3, it is a natural question whether the Griesmer bound is attained or not for d = dk , where gq(k, d) = ∑[d/q^i], i=0,...,k-1, dk = (k − 2)q^(k−1) − (k − 1)q^(k−2). It was shown by Dodunekov [2] and Maruta [9], [10] that there is no [gq(k, dk ), k, dk ]q code for q ≥ k, k = 3, 4, 5 and for q ≥ 2k − 3, k ≥ 6. The purpose of this paper...
Applications entrée-sortie sur un corps fini
Valeriu Prepelita (1972)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
Kei Funano (2016)
Analysis and Geometry in Metric Spaces
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Association schemes and MacWilliams dualities for generalized Niederreiter-Rosenbloom-Tsfasman posets [Book]
Dae San Kim, Hyun Kwang Kim (2012)
Asymptotics for the number of -quasigroups of order 4.
Potapov, V.N., Krotov, D.S. (2006)
Sibirskij Matematicheskij Zhurnal
Automorphism groups of Ree type Deligne-Lusztig curves and function fields.
Johan P. Hansen, Jens Peter Pedersen (1993)
Journal für die reine und angewandte Mathematik
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