期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
In this paper, we resolve a conjecture of Green and Liebeck (2019) [3] on codes in PGL(2, q). To be specific, we show that: if D is a dihedral subgrou......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
Double Toeplitz (DT) codes are codes with a generator matrix of the form (I, T) with T a Toeplitz matrix, that is to say constant on the diagonals par......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 73 ()
Reed-Solomon codes have gained a lot of interest due to its encoding simplicity, well structuredness and list-decoding capability [6] in the classical......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
A conjecture of Le says that the Deligne polytope Delta(d) is generically ordinary if p 1 (mod D(Delta(d))), where D(Delta(d)) is a combinatorial cons......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 72 ()
We propose a unified construction for binary locally repairable codes (LRCs) with distance four. When there is a binary linear code [n, k, 4] without ......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 73 ()
Motivated by recent developments in the metrical theory of continued fractions for real numbers concerning the growth of consecutive partial quotients......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 73 ()
Linear codes with a few weights can be applied to communication, consumer electronics and data storage system. In addition, the weight hierarchy of a ......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 73 ()
Any permutation polynomial is an n-cycle permutation. When n is a specific small positive integer, one can obtain efficient permutations, such as invo......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 73 ()
Let F-q be a finite field of q elements. We show that the normalized Jacobi sum q(-(m-1)/2)J(chi(1), . . . , chi(m))(chi(1) . . . chi(m) nontrivial) i......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
In this paper, for an odd prime p, by extending Li et al.'s construction [17], several classes of two-weight and three-weight linear codes over the fi......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
In this paper we introduce the notion of lambda-constacyclic codes over finite rings R for arbitrary element lambda of R. We study the non-invertible-......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 72 ()
In this paper, eight classes of complete permutation polynomials with Niho exponents are proposed. Based on certain polynomials over F-q(2) whose (q -......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 72 ()
In this paper, we propose a mechanism on how to construct long MDS self-dual codes from short ones. These codes are special types of generalized Reed-......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 72 ()
For any positive integers m and k, existing literature only determines the number of all Euclidean self-dual cyclic codes of length 2k over the Galois......
期刊： FINITE FIELDS AND THEIR APPLICATIONS, 2021; 75 ()
Let C(u, v) denote the ternary cyclic code with two nonzeros and alpha(u) where alpha(v), is a generator of F-3*m and 0 <= u, v <= 3(m) - 2. In ......
