I'm reading this paper and came across some notation I don't know and which is pretty difficult to search for. The relevant section is the first paragraph of section 2.1 in the paper, copied below:
Let $q$ be a power of prime and $k$ be a finite field of order $q$. For integers $n, m\ge1$, denoted by $f_1(x),f_2(x),...,f_m(x)$ quadratic polynomials of $x={}^t(x_1,x_2,...,x_n)$ over $k$.
Question: What is the meaning & name of the $^t$ notation before the brackets? It is not defined and is obviously not an exponent due to its placement. They use it in a similar fashion later in section 2.2:
$$ f_i(x_1,x_2,...,x_n)={}^txF_ix+ \text{(linear.)} $$
where $F_1,...,F_m$ are $n×n$ matrices over $k$
It should be the transpose. It is an aesthetic notation.
Instead of writing a vector as column, you would write it as a row.
So $(1,2,3)^t=\begin{pmatrix}1\\2\\3\end{pmatrix}$