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Construction of extremal Type II $\mathbb{Z}_{8}$-codes via doubling method [PDF]
Extremal Type II $\mathbb{Z}_{8}$-codes are a class of self-dual $\mathbb{Z}_{8}$-codes with Euclidean weights divisible by $16$ and the largest possible minimum Euclidean weight for a given length. We introduce a doubling method for constructing a Type II $\mathbb{Z}_{2k}$-code of length $n$ from a known Type II $\mathbb{Z}_{2k}$-code of length $n ...
Ban, Sara, Rukavina, Sanja
arxiv +2 more sources
Extremal Length and Harmonic Functions on Riemann Surfaces [PDF]
Expressions for several conformally invariant pseudometrics on a Riemann surface R are given in terms of three new forms of reduced extremal distance. The pseudometrics are defined by means of various subclasses of the set of all harmonic functions on 7?
C. David Minda
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Extremal length definitions for the conformal capacity of rings in space. [PDF]
F. W. Gehring
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Extremal length of weak homology classes on Riemann surfaces [PDF]
1. The square integrable harmonic differentials on a Riemann surface W form a Hilbert space rh. Let rP be a closed subspace of rh. Let c be a 1-chain on W. There exists a unique element i1(c) CrP with the property flco= (c, {1'(c)) for all coCPr.
Burton Rodin
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On weighted extremal length and $p$-capacity
Hiromichi Yamamoto
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Extremal length and univalent functions II. Integral estimates of strip mappings [PDF]
In 1971, Jenkins and Oikawa [2] used extremal length techniques to obtain quantitative results on the boundary behavior of conformal mappings. This became the starting point for further investigations in that direction $(e$ . $g$ . $[3]$ , [5], [6], [7],
Burton Rodin, S. E. Warschawski
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The extremal length of a network
R. Duffin
openaire +3 more sources
Extremal length and conformal capacity [PDF]
W. Ziemer
openaire +3 more sources
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the development of
Dídac Martínez-Granado+1 more
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