2012/06/04 by Joanne L. Hall, Hall, Joanne L., Jan Šťovíček +2
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Coding theory and cryptography #Cryptographic Implementations and Security #cs.IT #graph theory and CDMA systems #math.CO #math.IT #msc:51C05 #msc:81P45 #quant-ph
paper · pdf · doi:10.48550/arxiv.1206.0531
5 pages. Accepted to ISIT2012
arxiv created 2012/06/04 · arxiv updated 2012/06/05
Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finite geometries. Most of which has focused on a connection with projective and affine planes. We propose a connection with higher dimensional projective geometries and projective Hjelmslev geometries. We show that this proposed geometric structure is present in several constructions of MUBs.