Self-dual MDS and NMDS codes over finite fields are linear with significant combinatorial cryptographic applications. In this paper, firstly, we investigate the duality properties of generalized twisted Reed-Solomon (abbreviated GTRS) in some special cases. Then, a new systematic approach is proposed to obtain Hermitian self-dual (+)-GTRS codes, furthermore, necessary sufficient conditions for ...

myelodysplastic syndromes (mds) are a group of hematological disorders ranging from chronic refractory anemia to leukemia. there are some reports about association of mds with autoimmune disorders and vasculitis. in this study we describe a patient with mds and vasculitis presenting with central nervous system (cns) involvement. a clinical response to immunosuppressive therapy was also observed...

objectives: myelodysplastic syndromes (mdss) include a diverse group of clonal bone marrow disorders characterized by ineffective hematopoiesis and pancytopenia. it was found that down regulation of apaf1 , a putative tumor suppressor gene, leads to resistance to chemotherapy and disease development in some cancers. in this study, we investigated the relation of apaf1 methylation status with it...

introduction: measurement of diabetes management effectiveness includes the process of care and its quality, health outcome and response to care before everything; it needs a conceptual framework about this universal disease. minimum data set (mds) of diabetes make this framework by using standard data element with unique definition and effectiveness indicators preparation of diabetes managemen...

conclusions adherence to the meddiet, according to mds and sofi-mds, may not predict mets components and mets incidence after 3 years of follow-up in iranian adult populations. results after adjusting for potential confounders, neither higher mds nor higher sofi-mds were significantly associated with the mean values of mets components and the risk of metabolic abnormalities incidence after 3 ye...

Abstract: In this paper, we mainly study the theory of linear codes over the ring R = Z4 + uZ4 + vZ4 + uvZ4. By the Chinese Remainder Theorem, we have R is isomorphic to the direct sum of four rings Z4. We define a Gray map Φ from R n to Z 4 , which is a distance preserving map. The Gray image of a cyclic code over R is a linear code over Z4. Furthermore, we study the MacWilliams identities of ...

We present a generalisation of Twisted Reed– Solomon codes containing a new large class of MDS codes. We prove that the code class contains a large subfamily that is closed under duality. Furthermore, we study the Schur squares of the new codes and show that their dimension is often large. Using these structural properties, we single out a subfamily of the new codes which could be considered fo...

In this paper, by investigating the factor of the x+1, we deduce that the structure of the reversible negacyclic code over the finite field Fq, where q is an odd prime power. Though studying q−cyclotomic cosets modulo 2n, we obtain the parameters of negacyclic BCH code of length n = q +1 2 , n = q−1 2(q−1) and n = q τ −1 2(qt+1) . Some optimal linear codes from negacyclic codes are given. Final...

This work deals with partial MDS (PMDS) codes, a special class of locally repairable codes, used for distributed storage system. We first show that a known construction of these codes, using Gabidulin codes, can be extended to use any maximum rank distance code. Then we define a standard form for the generator matrices of PMDS codes and use this form to give an algebraic description of PMDS gen...

The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) under several restrictions. Assuming that the set of such diffusion matrices is closed for the H-convergence, we give a method to obtain admissible directions which applies to a not-necessarily convex control set. Our results permit obtaining the diffusion matrix from the st...