Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Construction of Efficient MDS Matrices Based on Block Circulant Matrices for Lightweight Application
View through CrossRef
Maximum distance separable (MDS) codes introduce MDS matrices which not only have applications in coding theory but also are of great importance in the design of block ciphers. It has received a great amount of attention. In this paper, we first introduce a special generalization of circulant matrices called block circulants with circulant blocks, which can be used to construct MDS matrices. Then we investigate some interesting and useful properties of this class of matrices and prove that their inverse matrices can be implemented efficiently. Furthermore, we present some 4 × 4 and 8 × 8 efficient MDS matrices of this class which are suitable for MDS diffusion layer. Compared with previous results, our construction provides better efficiency for the implementation of both the matrix and the its inverse matrix.
Title: Construction of Efficient MDS Matrices Based on Block Circulant Matrices for Lightweight Application
Description:
Maximum distance separable (MDS) codes introduce MDS matrices which not only have applications in coding theory but also are of great importance in the design of block ciphers.
It has received a great amount of attention.
In this paper, we first introduce a special generalization of circulant matrices called block circulants with circulant blocks, which can be used to construct MDS matrices.
Then we investigate some interesting and useful properties of this class of matrices and prove that their inverse matrices can be implemented efficiently.
Furthermore, we present some 4 × 4 and 8 × 8 efficient MDS matrices of this class which are suitable for MDS diffusion layer.
Compared with previous results, our construction provides better efficiency for the implementation of both the matrix and the its inverse matrix.
Related Results
Categorizing Molecular Mutations in MDS and AML
Categorizing Molecular Mutations in MDS and AML
Abstract
Introduction:
A huge amount of data on genetic alterations has been compiled by high throughput sequencing studies in several hematologic mal...
Development and Exploitation of a Fully Human and Modular Organotypic Bone Marrow Niche Model to Study the Role of Stroma-Produced Factors in Human MDS
Development and Exploitation of a Fully Human and Modular Organotypic Bone Marrow Niche Model to Study the Role of Stroma-Produced Factors in Human MDS
Background: Myelodysplastic syndromes (MDS) are a heterogenous group of stem cell driven disorders primarily affecting the elderly and characterized by inefficient production of ma...
Impairment of HuR-Mediated FOS mRNA Stabilization in Granulocytes From Myelodysplastic Syndrome Patients.
Impairment of HuR-Mediated FOS mRNA Stabilization in Granulocytes From Myelodysplastic Syndrome Patients.
Abstract
Abstract 2805
Infection is a major cause of death in patients with myelodysplastic syndromes (MDS). Although qualitative and quantitative gra...
Gut microbiota composition correlates with disease severity in myelodysplastic syndrome
Gut microbiota composition correlates with disease severity in myelodysplastic syndrome
ABSTRACTThe myelodysplastic syndrome (MDS) is a heterogeneous group of clonal disorders of hematopoietic progenitor cells related to ineffective hematopoiesis and an increased risk...
Systematic Literature Review of the Global Incidence and Prevalence of Myelodysplastic Syndrome and Acute Myeloid Leukemia
Systematic Literature Review of the Global Incidence and Prevalence of Myelodysplastic Syndrome and Acute Myeloid Leukemia
Abstract
Introduction: Acute myeloid leukemia (AML) consists of a group of relatively well-defined hematopoietic neoplasms, while myelodysplastic syndrome (MDS) comp...
Myelodysplastic/Myeloproliferative Neoplasms
Myelodysplastic/Myeloproliferative Neoplasms
AbstractThe myelodysplastic syndrome-myeloproliferative neoplasms (MDS/MPNs) are a heterogeneous group of hematologic malignancies characterized by dysplastic and myeloproliferativ...
Response To Azacitidine Is Independent Of TP53 Mutations In Higher-Risk Myelodysplastic Syndromes (MDS) and Secondary Acute Myeloid Leukemia (sAML)
Response To Azacitidine Is Independent Of TP53 Mutations In Higher-Risk Myelodysplastic Syndromes (MDS) and Secondary Acute Myeloid Leukemia (sAML)
Abstract
Introduction
Higher-risk myelodysplastic syndromes (MDS) progress to secondary acute myeloid leukemia (sAML) within mon...
Block-circulant with circulant-block preconditioners for two-dimensional spatial fractional diffusion equations
Block-circulant with circulant-block preconditioners for two-dimensional spatial fractional diffusion equations
Abstract
The implicit finite difference scheme with the shifted Grünwald formula for discretizing the two-dimensional spatial fractional diffusion equations can result in d...