Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-dual Hadamard bent sequences   A new notion of bent sequence related to Hadamard matrices was introduced
recently, motivated by a security application ( Sol\'e et al, 2021). We study
the self dual class in length at most $196.$ We use three competing methods of
generation: Exhaustion, Linear Algebra and Groebner bases. Regular Hadamard
matrices and Bush-type Hadamard matrices provide many examples. We conjecture
that if $v$ is an even perfect square, a self-dual bent sequence of length $v$
always exist. We introduce the strong automorphism group of Hadamard matrices,
which acts on their associated self-dual bent sequences. We give an efficient
algorithm to compute that group.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th