In this paper, we investigate the binary symmetric wiretap channel. We show that the secrecy capacity can be achieved by using random linear codes. Furthermore, we explore the coset coding scheme constructed by linear codes. As a result, we give an upper bound on the total information loss, which sheds light on the design of the applicable coset codes for the secure transmission with limited in...

In a previous work, the authors found new families of linear binary completely regular codes with the covering radius ρ = 3 and ρ = 4. In this paper, the automorphism groups of such codes are computed and it is proven that the codes are not only completely regular, but also completely transitive. From these completely transitive codes, in the usual way, i.e., as coset graphs, new presentations ...

This paper describes the participation of ELiRF-UPV team at Classification Of Spanish Election Tweets (COSET) task. We tested several approaches based on different classifiers and features representations. Our main approach is based on neural networks, concretely, Multilayer Perceptrons (MLP) with bag-of-words representation of the tweets. Our system achieved the best score on the test set of t...

We discuss a large class of coset constructions of the N=2 sl(n|n− 1) affine superalgebra. We select admissible subalgebras, i.e. subalgebras that induce linear chiral/antichiral constraints on the coset supercurrents. We show that all the corresponding coset constructions lead to N=2 matrix GNLS hierarchies. We develop an algorithm to compute the relative Hamiltonians and flows. We spell out c...

This paper presents a solution of the polycirculant conjecture which states that every vertex-transitive graph G has an automorphism that permutes the vertices in cycles of the same length. This is done by identifying vertex-transitive graphs as coset graphs. For a coset graph H, an equivalence relation ∼ is defined on the vertices of cosets with classes as double cosets of the stabiliser and a...

Let H,K be subgroups of G. We investigate the intersection properties of left and right cosets of these subgroups. If H and K are subgroups of G, then G can be partitioned as the disjoint union of all left cosets of H, as well as the disjoint union of all right cosets of K. But how do these two partitions of G intersect each other? Definition 1. Let G be a group, and H a subgroup of G. A left t...

We show that a chiral coset geometry constructed from C + -group necessarily satisfies residual connectedness and is therefore hypertope.

Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional N = 1 heterotic supergravity coupled to N = 1 super Yang-Mills over manifolds admitting a nearly-Kähler structure. Given the fact that all homogeneous six-dimensional nearly-Kähler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group ma...

We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory a factorization anzatz is found.The corresponding correlation functions are explicitly expressed in terms of correlation functions of two independent WZNW theories for g and h. Coset theories is an important subclass ...

Coset conformal field theories with abelian isotropy groups. Abstract Conformal field theories based on g/u(1) d coset constructions where g is a reductive algebra are studied.It is shown that the theories are equivalent to constrained WZNW models for g. Generators of extended symmetry algebras and primary fields are constructed. In a recent paper [1] currents, primary fields and generators of ...