MORE CONSTRUCTIONS OF APPROXIMATELY MUTUALLY UNBIASED BASES
Xiwang Cao, Wun-Seng Chou · Bulletin of the Australian Mathematical Society · 2015
Let $m$ be a positive integer and $p$ a prime number. We prove the orthogonality of some character sums over the finite field $\mathbb{F}_{p^{m}}$ or over a subset of a finite field and use this to construct some new approximately mutually unbiased bases of dimension $p^{m}$ over the complex number field $\mathbb{C}$ , especially with $p=2$ .