The investigation of the factorizing codes C, i.e., codes satisfying Schützenberger’s factorization conjecture, has been carried out from different viewpoints, one of them being the description of structural properties of the words in C. In this framework, we can now improve an already published result. More precisely, given a factorizing code C over a two-letter alphabet A={a, b}, it was prove...

The present paper describes some technical and business considerations for the coupled (rather than sequential) simulations of fluid flow, structural, and thermal phenomena in industrial equipment. A Modular (object-oriented) approach of performing coupled simulations is described. The embodying software (MDICE: Multi-Disciplinary Computing Environment) also allows the use of various (interchan...

Let Fq be a field of order q, where q is power an odd prime p, and α β are two non-zero elements Fq. The primary goal this article to study the structural properties cyclic codes over finite ring R=Fq[u1,u2]/⟨u12−α2,u22−β2,u1u2−u2u1⟩. We decompose R by using orthogonal idempotents Δ1,Δ2,Δ3, Δ4 as R=Δ1R⊕Δ2R⊕Δ3R⊕Δ4R, construct quantum-error-correcting (QEC) R. As application, we some optimal LCD ...

Abstract We present a new propagation rule for CSS codes. Starting with code $$[\![n,k,d]\!]_q$$ [ n , k d ] q , we construct parameters $$[\![n-2,...