A fundamental objective of cryptography is to enable two persons to communicate over an
insecure channel (a public channel such as the internet) in such a way that any other person …

Homomorphic encryption is a form of encryption which allows specific types of computations
to be carried out on ciphertexts and generate an encrypted result which, when decrypted …

Like classical block codes, a locally repairable code also obeys the Singleton-type bound
(we call a locally repairable code optimal if it achieves the Singleton-type bound). In the …

In this article, we provide new methods to look for lightweight MDS matrices, and in
particular involutory ones. By proving many new properties and equivalence classes for …

One of the most important key technologies for digital communication systems as well as
storage media is coding theory. It provides a means to transmit information across time and …

In this paper, we first construct several classes of classical Hermitian self-orthogonal
maximum distance separable (MDS) codes. Through these classical codes, we are able to …

Linear complementary-dual (LCD for short) codes are linear codes that intersect with their
duals trivially. LCD codes have been used in certain communication systems. It is recently …

It has been a great challenge to construct new quantum maximum-distance-separable
(MDS) codes. In particular, it is very hard to construct the quantum MDS codes with relatively …

The projective and polar geometries that arise from a vector space over a finite field are
particularly useful in the construction of combinatorial objects, such as latin squares …

We introduce an indicator of the non-balancedness of functions defined over Abelian
groups, and deduce a new indicator, denoted by NB, of the nonlinearity of such functions …