14,873 research outputs found
Cosmic shear full nulling: sorting out dynamics, geometry and systematics
An explicit full nulling scheme for cosmic shear observations is presented.
It makes possible the construction of shear maps from extended source
distributions for which the lens distance distribution is restricted to a
definite interval. Such a construction allows to build totally independent
shear maps, at all scales, that can be taken advantage of to constrain
background cosmological parameters and systematics using the full statistical
power of cosmic shear observations. Another advantage of such construction is
that, as the lens redshift distribution can be made arbitrarily narrow, scale
mixing due to projection effects can be limited allowing controlled predictions
on the large scale shear power spectrum from perturbation theory calculations.Comment: 13 pages, 17 figures, accepted for publication in MNRA
Johnson type bounds for mixed dimension subspace codes
Subspace codes, i.e., sets of subspaces of , are applied in
random linear network coding. Here we give improved upper bounds for their
cardinalities based on the Johnson bound for constant dimension codes.Comment: 16 pages, typos correcte
Intersection sets, three-character multisets and associated codes
In this article we construct new minimal intersection sets in
sporting three intersection numbers with hyperplanes; we
then use these sets to obtain linear error correcting codes with few weights,
whose weight enumerator we also determine. Furthermore, we provide a new family
of three-character multisets in with even and we
also compute their weight distribution.Comment: 17 Pages; revised and corrected result
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