期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 88 ()
In this paper, for an odd prime p, several classes of two-weight linear codes over the finite field Fp are constructed from the defining sets, and the......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 91 ()
Let S be a dimensional dual hyperoval of rank n over F2. We introduce and study the radical P(S), which is a subspace of the ambient space U(S) of S i......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 91 ()
In this work, doubly extended linearized Reed-Solomon codes and triply extended Reed-Solomon codes are generalized. We obtain a general result in whic......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 86 ()
A pair (n, q) with q a prime power and n a positive integer for which gcd(n, q) = 1 is non-standard if one of the following properties holds, which we......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 88 ()
Galois hulls of MDS codes can be applied to construst MDS entanglement-assisted quantum error-correcting codes (EAQECCs). Goppa codes and expurgated G......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 89 ()
The full flag codes of maximum distance and size on vector space F2 nu q are studied in this paper. We start to construct the subspace codes of maximu......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 89 ()
We compute the parameters of the linear codes that are associated with higher dimensional projective embeddings of Grassmannian when the degree exceed......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 89 ()
In this paper, based on the structure of embedded fields, we investigate explicit construction of systematic (k + 1, k) mMDS sliding window codes with......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 92 ()
In this paper, we study the permutation property of pentanomials with the form xrh(xpm-1) over Fp2m , where p is an element of {2, 3}. More precisely,......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 85 ()
In this paper we present, using the arithmetic of elliptic curves over finite fields, an algorithm for the efficient generation of a sequence of unifo......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 92 ()
This paper aims to study linear sets of minimum size on the projective line, that is Fq-linear sets of rank k in PG(1, qn) admitting one point of weig......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 88 ()
We present family of automatic sequences that define alge-braic continued fractions in characteristic 2. This family is constructed from ultimately pe......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 88 ()
In this work, we present two families of quadratic APN functions. The first one (F1) is constructed via biprojective polynomials. This family extends ......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 89 ()
Linear codes and t-designs are interactive with each other. It is well known that some t-designs have been constructed by using certain linear codes i......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2023; 91 ()
Let q= pm, where pis a prime and m. N. Let Fqnbe the field extension of degree nover Fq. Further, let r= 1and k= 0be integers such that r| qn- 1and th......
