Definition
of Hadamard Matrices
An 
matrix 
is a Hadamard matrix if it consists of 
only, and if 
, where 
is the identity matrix of size 
.
Hadamard Matrices
- Definition
- Sylvester Constructions
- Paley Construction - Type I : Quadratic Residue mod P with P=3 (mod
4) => size P+1
- Paley Construction - Type II : Quadratic Residue mod P with P=1
(mod 4) => size 2(P+1)
- Hall's Sextic Residue Construction
- Williamson Construction
- Twin-Prime Constructions for Cyclic Hadamard Matrices
- M-sequence Construction for Cyclic Hadamard Matrices
- GMW-sequence Construction for Cyclic Hadamard Matrices
- A Conjecture on the Existence of Cyclic Hadamard Matrices
- A Conjecture characterizing M-sequences by Span Property and Ideal
Autocorrelation Property
- Equivalence of Hadamard Matrices
- Cyclic Hadamard Difference Sets
Symmetric BIBD
Reed-Muller Codes and Majority-Logic Decoding
Maximal Length LFSR Sequences
- Definition
- Balanced Property
- Run Property
- Span Property
- Constant-on-the-Coset Property
- Ideal Autocorrelation Property
- Cycle-and-Add Property
- Cyclic Hadamard Matrices