Spherical codes and designs
WebApr 25, 2011 · Complex spherical designs and codes. Aidan Roy, Sho Suda. Real spherical designs and real and complex projective designs have been shown by Delsarte, … WebFeb 1, 2024 · Designs On polarization of spherical codes and designs Authors: Peter Boyvalenkov Bulgarian Academy of Sciences Peter D. Dragnev Purdue University Fort …
Spherical codes and designs
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WebOct 8, 2024 · We investigate spherical 4-distance 7-designs by studying their distance distributions. We compute these distance distributions and use their product (an integer) to derive certain divisibility... WebAug 1, 1994 · Abstract We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we …
WebJul 15, 2024 · We derive universal lower and upper bounds on the polarization of spherical designs of fixed dimension, strength, and cardinality. The bounds are universal in the … Webdi erent types of set, namely spherical codes and spherical designs. The idea of spherical codes is to have the points on the unit sphere to be as far away as possible from each …
WebAug 1, 2009 · Spherical codes and spherical designs are nothing but finite subsets of Sn−1. Roughly speaking, the code theoretical viewpoint is to try to find X, whose points are … WebJul 24, 2015 · Spherical Designs in Four Dimensions (Extended Abstract) Full-text available Article N. J. A. Sloane R. H. Hardin Philippe Cara View Show abstract ... In two dimensions (d = 1) the problem is...
WebT1 - Spherical codes and designs. AU - Delsarte, Ph. AU - Goethals, J.M. AU - Seidel, J.J. PY - 1977. Y1 - 1977. N2 - No abstract. AB - No abstract. U2 - 10.1007/BF03187604. DO …
Webthat every code in S21 with maximal inner product 1/4 has size at most 891, and that equality is achieved iff all inner products between distinct vectors are in {−1/2,−1/8,1/4} and the code is a spherical 5-design. Recall that a spherical t-design is a finite subset of the sphere S n−1 ⊂ R such that for every polynomial elderly parents checklistWebJul 25, 2024 · It is discussed that using spherical t-designs for locating nodes on the sphere are best for maintaining energy across the sphere. I understand this. Where I get lost is … elderly parents careWebJun 1, 1981 · Tables of sphere packings and spherical codes Authors: N. J. A. Sloane The OEIS Foundation Inc. Abstract The theta function of a sphere packing gives the number of centers at each distance from... food insecurity grant massachusettsWebWe extend the concepts of sum-free sets and Sidon-sets of combinatorial number theory with the aim to provide explicit constructions for spherical designs. We call a subset S of the (additive) abelian group G t -free if for all non-negative integers k ... food insecurity during the great depressionWebDec 25, 2008 · [1] gives an optimal antipodal spherical (35, 240, 1/7) code whose vectors form a spherical 3-design. Generalizing the study [1], [5] gives a construction of spherical 3-designs. ...... food insecurity grants 2022Seidel's selected papers are divided into four areas: graphs and designs; lines with … Via the theory of error-correcting codes, we construct here several new 5-designs on … The absolute bound for the cardinality of sets of lines in R n or C n having a … Tri-weight codes and generalized Hadamard matrices. Information and … Bemerkungen zur Theorie der beschrankten Bilinearformen mit unendlich vielen … elderly parent sleeping all the timeWebJul 10, 2024 · We apply polynomial techniques (linear programming) to obtain lower and upper bounds on the covering radius of spherical designs as function of their dimension, strength, and cardinality. In... food insecurity grants 2023