Zobrazeno 1 - 10
of 15
pro vyhledávání: '"JOSEPH W. IVERSON"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance. We intro
Externí odkaz:
https://doaj.org/article/055a7d1d9a7e4388abb80d74a747db61
Publikováno v:
Journal of Combinatorial Designs. 29:809-832
We study tight projective 2-designs in three different settings. In the complex setting, Zauner's conjecture predicts the existence of a tight projective 2-design in every dimension. Pandey, Paulsen, Prakash, and Rahaman recently proposed an approach
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::736d9033b956461a547cec3a2b4e1b30
https://doi.org/10.1002/jcd.21804
https://doi.org/10.1002/jcd.21804
Publikováno v:
ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70164c52987cff4cff142b7607d8334b
https://doi.org/10.1109/icassp43922.2022.9746835
https://doi.org/10.1109/icassp43922.2022.9746835
We investigate equiangular lines in finite orthogonal geometries, focusing specifically on equiangular tight frames (ETFs). In parallel with the known correspondence between real ETFs and strongly regular graphs (SRGs) that satisfy certain parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46977df3bd1c9636c09140c0f2dab199
https://hdl.handle.net/10356/162564
https://hdl.handle.net/10356/162564
Publikováno v:
Discrete & Computational Geometry. 63:731-763
We use group schemes to construct optimal packings of lines through the origin. In this setting, optimal line packings are naturally characterized using representation theory, which in turn leads to a necessary integrality condition for the existence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::174b5a07619b4b53b9f459b33a5f5c6a
https://doi.org/10.1007/s00454-019-00084-z
https://doi.org/10.1007/s00454-019-00084-z
An equi-isoclinic tight fusion frame (EITFF) is a type of Grassmannian code, being a sequence of subspaces of a finite-dimensional Hilbert space of a given dimension with the property that the smallest spectral distance between any pair of them is as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d773b4705d1287b03bb0587c249133c5
We introduce the study of frames and equiangular lines in classical geometries over finite fields. After developing the basic theory, we give several examples and demonstrate finite field analogs of equiangular tight frames (ETFs) produced by modular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfa224dc89a2965f1b80e42b96dd9eea
http://arxiv.org/abs/2012.12977
http://arxiv.org/abs/2012.12977
Publikováno v:
Forum of Mathematics, Sigma. 8
We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance. We intro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4a4aade75983dfe401e6fb498050b1f
https://doi.org/10.1017/fms.2019.48
https://doi.org/10.1017/fms.2019.48
An equiangular tight frame (ETF) is a sequence of vectors in a Hilbert space that achieves equality in the Welch bound and so has minimal coherence. More generally, an equichordal tight fusion frame (ECTFF) is a sequence of equi-dimensional subspaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f076c343493d61471c2f68fac043596
Autor:
Dustin G. Mixon, Joseph W. Iverson
Publikováno v:
Journal of Combinatorial Theory, Series A. 185:105540
We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. In doing so, we make fundamental connections with both discrete geometry and algebraic combinatorics. In particular, we s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ae9bfa1fa80b7782077c64d4b12f786
https://doi.org/10.1016/j.jcta.2021.105540
https://doi.org/10.1016/j.jcta.2021.105540