Abstract
A set of vectors of equal norm in Cd represents equiangular lines if the magnitudes of the inner product of every pair of distinct vectors in the set are equal. The maximum size of such a set is d2, and it is conjectured that sets of this maximum size exist in Cd for every d ≥ 2. We describe a new construction for maximumsized sets of equiangular lines, exposing a previously unrecognized connection with Hadamard matrices. The construction produces a maximum-sized set of equiangular lines in dimensions 2, 3 and 8.
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CITATION STYLE
Jedwab, J., & Wiebe, A. (2015). A simple construction of complex equiangular lines. In Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014 (Vol. 133, pp. 159–169). Springer International Publishing. https://doi.org/10.1007/978-3-319-17729-8_13
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