In the present paper, we examined extendibility of evolution subalgebras generated by idempotents algebras. The isomorphism such to entire algebra was investigated. Moreover, existence an arbitrary also studied. Furthermore, described tensor product algebras and found conditions decomposability four-dimensional S-evolution This paper’s findings shed light on field algebraic structures, particul...

In this paper, some Drazin inverse representations of the linear combinations of two idempotents in Banach algebra are obtained.

The characterization and construction of bent functions are challenging problems. The paper generalizes the constructions of Boolean bent functions by Mesnager [33], Xu et al. [40] and p-ary bent functions by Xu et al. [41] to the construction of p-ary weakly regular bent functions and presents new infinite families of p-ary weakly regular bent functions from some known weakly regular bent func...

Based on the ideas of cyclotomic cosets, idempotents and Mattson-Solomon polynomials, we present a new method to construct GF(2m ), where m > 0 cyclic low-density paritycheck codes. The construction method produces the dual code idempotent which is used to define the parity-check matrix of the low-density parity-check code. An interesting feature of this construction method is the ability to in...