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Lethbridge Number Theory and Combinatorics Seminar
Date: March 16, 2020
Time: 12:00 - 12:50 pm
Location: UHall W561
Topic: Equiangular Tight Frames; Construction and Applications.
Description:
A family of lines through the origin in a Euclidean space is called equiangular if the absolute value of the inner product of each pair of lines is a constant.
A d-by-n matrix F with real entries (and d < n) is a Frame if the absolute value of the off-diagonal entries of the product of F-transpose with F is a constant. A d-by-n Frame is Tight if the rows are pairwise orthogonal and it is Flat if the absolute value of the entries stays the same. A new construction method makes use of Block Shapiro-Golay pairs. Applications lead to a class of Quasi-symmetric designs and Self-Complementary Codes attaining Grey-Rankin Bound. All concepts will be explained with simple examples.
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science/number-theory-combinatorics-seminars
