Following Babai’s algorithm (Graph isomorphism in quasipolynomial time, arXiv:1512.03547v2, 2016) for the string problem, we determine that it is possible to write expressions of short length describing certain permutation cosets, including all subgroups. This feasible both original version and its CFSG-free version, by Babai (2016, §13.1) Pyber (A analysis GI algorithm, arXiv:1605.08266, 2016)...

The binary primitive BCH codes are cyclic and constructed by choosing a subset of the cyclotomic cosets. Which is chosen determines dimension, minimum distance weight distribution code. We construct possible determine their coderate, true non-equivalent codes. A particular choice cosets gives which are, extended one bit, equivalent to Reed-Muller codes, known result from sixties. show that have...

The parameters of a q-ary MDS Euclidean self-dual codes are completely determined by its length and the construction with new has been widely investigated in recent years. In this paper, we give further study on via generalized Reed-Solomon (GRS) their extended codes. main idea our is to choose suitable evaluation points such that corresponding (extended) GRS self-dual. Firstly, consider set co...

The concepts of neutrosophic normal soft group, neutrosophic soft cosets, neutrosophic soft homomorphism are introduced and illustrated by suitable examples in this paper. Several related properties and structural characteristics are investigated. Some of their basic theorems are also established.

A bstract We build a novel time-like coset sigma-model describing type-II superstring theory in charged rotating black-brane background that interpolates between local AdS 3 the IR and linear-dilaton geometry UV. This allows one to peform systematic study of holography non-AdS backgrounds which are smoothly connected . construct massless closed string states vertex operators NS-NS sector, calcu...

Abstract Using the invariant theory of arc spaces, we find minimal strong generating sets for certain cosets affine vertex algebras inside free field that are related to classical Howe duality. These results have several applications. First, any algebra ${{\mathcal {V}}}$, a surjective homomorphism differential $\mathbb {C}[J_{\infty }(X_{{{\mathcal {V}}}})] \rightarrow \text {gr}^{F}({{\mathca...