Hadamard matrices and their applications: progress 2007--2010
From MaRDI portal
Publication:601092
DOI10.1007/s12095-010-0032-0zbMath1198.15001OpenAlexW1999413354MaRDI QIDQ601092
Publication date: 3 November 2010
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-010-0032-0
Hadamard matrixAPN functionrelative difference setcocyclic matrixgeneralised Hadamard matrixHadamard codepresemifield
Cryptography (94A60) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) Boolean and Hadamard matrices (15B34)
Related Items (20)
Hadamard $$\mathbb{Z}_{2}\mathbb{Z}_{4}Q_{8}$$ -Codes: Rank and Kernel ⋮ Hadamard full propelinear codes of type Q; rank and kernel ⋮ Optimal and efficient designs for functional brain imaging experiments ⋮ Classification of difference matrices over cyclic groups ⋮ Difference sets and doubly transitive actions on Hadamard matrices ⋮ \(D\)-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns ⋮ Formal orthogonal pairs via monomial representations and cohomology ⋮ Connection between the Hadamard and matrix products with an application to matrix-variate Birnbaum-Saunders distributions ⋮ Switching codes and designs ⋮ Uniqueness of Butson Hadamard matrices of small degrees ⋮ Constructions and nonexistence results for suitable sets of permutations ⋮ Group algebra series and coboundary modules. ⋮ Automorphisms of generalized Sylvester Hadamard matrices ⋮ Cocyclic Hadamard matrices from forms over finite Frobenius rings ⋮ Hadamard matrices of Williamson type: A challenge for computer algebra ⋮ Some New Orders of Hadamard and Skew‐Hadamard Matrices ⋮ The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\) ⋮ Structured Hadamard Conjecture ⋮ Sparse solutions to underdetermined Kronecker product systems ⋮ On linear shift representations.
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new class of nonlinear sensary codes
- Difference sets and doubly transitive actions on Hadamard matrices
- On the density of the set of known Hadamard orders
- On twin prime power Hadamard matrices
- The cocyclic Hadamard matrices of order less than 40
- Cocyclic Hadamard matrices from forms over finite Frobenius rings
- Bundles, presemifields and nonlinear functions
- Multilevel and multidimensional Hadamard matrices
- Perfect nonlinear binomials and their semifields
- The homological reduction method for computing cocyclic Hadamard matrices
- On the asymptotic existence of Hadamard matrices
- On the asymptotic existence of cocyclic Hadamard matrices
- Hadamard graphs. I
- Codes, bent functions and permutations suitable for DES-like cryptosystems
- A family of antipodal distance-regular graphs related to the classical Preparata codes
- New semifields, PN and APN functions
- Hadamard matrices of order 764 exist
- Commutative presemifields and semifields
- Some Theorems on Planar Mappings
- EA and CCZ Equivalence of Functions over GF(2 n )
- A system of equations for describing cocyclic Hadamard matrices
- Twisted product of cocycles and factorization of semi-regular relative difference sets
- The rank and kernel of extended 1-perfect Z/sub 4/-linear and additive non- Z/sub 4/-linear codes
- New classes of almost bent and almost perfect nonlinear polynomials
- Rank and Kernel of Binary Hadamard Codes
- Generalized Hadamard matrices whose transposes are not generalized Hadamard matrices
- Automorphisms of higher-dimensional Hadamard matrices
- Enumeration of generalized Hadamard matrices of order 16 and related designs
- New Commutative Semifields and Their Nuclei
- Rooted Trees Searching for Cocyclic Hadamard Matrices over D 4t
- On the asymptotic existence of complex Hadamard matrices
- A group extensions approach to relative difference sets
- On the Intersection of ${{\BBZ}_{2}{\BBZ}_{4}}$-Additive Hadamard Codes
- A POLYNOMIAL APPROACH TO COCYCLES OVER ELEMENTARY ABELIAN GROUPS
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
- Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2
This page was built for publication: Hadamard matrices and their applications: progress 2007--2010
