Linear complementary dual (LCD) codes are binary linear codes that meet their dual trivially.
We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial designs …

In this paper 1, we prove existence of optimal complementary dual codes (LCD codes) over
large finite fields. We also give methods to generate orthogonal matrices over finite fields …

In this paper, we give algorithms and methods of construction of self-dual codes over finite
fields using orthogonal matrices. Randomization in the orthogonal group, code extension …

Triorthogonal codes are a class of quantum error-correcting codes used in magic state
distillation protocols. We classify all triorthogonal codes with n+ k≤ 38, where n is the …

A bent function is called self-dual if it is equal to its dual. It is called anti-self-dual if it is equal
to the complement of its dual. A spectral characterisation in terms of the Rayleigh quotient of …

In this paper we study metrical properties of Boolean bent functions which coincide with their
dual bent functions. We propose an iterative construction of self-dual bent functions in n+ 2 …

We classify all self dual and anti self dual quadratic bent functions in 2 n variables under the
action of the orthogonal group O (2n,\mathbb F_2). This is done through a classification of all …

In this paper, we classify quadratic and cubic self-dual bent functions in eight variables with
the help of computers. There are exactly four and 45 non-equivalent self-dual bent functions …

Linear complementary dual (LCD) codes provide an optimum linear coding solution for the
two-user binary adder channel. LCD codes also can be used against side-channel attacks …

A new notion of bent sequence related to Hadamard matrices was introduced recently,
motivated by a security application (Solé, et al., 2021). The authors study the self-dual class …