0
A Hills matrix is an encryption tool. For a language comprising 26 characters, you would use an invertible n*n matrix where each element is modulo 26. That is a Hill matrix, H.
To encode a plain text message,
- encode the plain-text message using a = 0, b = 1, ..., z = 25.
- chop the message into strings of n characters.
- premultiply the column vector so formed by H.
- convert the resulting n*1 matrix to modulo 26.
- that is the encrypted message.
- to decrypt, premultiply the encrypted version by H^-1, modulo 26 .
The matrix H, is selected from a set of n*n matrices which are invertible and, for a 26-letter language, the determinant should not be divisible by a factor of 26 (2 or 13).
Add your answer:
Earn +20 pts
What is the definition of involtary matrix?
Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.
What is the definition of a null matrix?
The null matrix is also called the zero matrix. It is a matrix with 0 in all its entries.
What is payroll matrix?
can anyone give me an exact definition of payroll matrix................
What is the definition of zero matrix?
Zero Matrix When all elements of a matrix are zero than the matrix is called zero matrix. Example: A=|0 0 0|
What is the definition of identity matrix?
Identity or Unit Matrix If in the scaler matrix the value of k=1, the matrix is called the identity or unit matrix. It is denoted by I or U.
Definition of Lower-triangular matrix?
Lower-triangular Matrix A square matrix A whose elements aij=0 for i
What is the definition of a diagonal matrix?
Diagonal Matrix A square matrix A which is both uper-triangular and lower triangular is called a diagonal matrix. Diagonal matrix is denoted by D.
What is the definition of an idempotent matrix?
A square matrix A is idempotent if A^2 = A. It's really simple
What is the definition of scaler matrix?
Scaler Matrix If in the diagonal matrix D, a11=a22=a33=...=ann=k. Then D is called a scaler matrix.
Definition of dope matrix?
from data structure
What is the definition of Uper-triangular matrix?
Uper-triangular Matrix A square matrix A whose elements aij=0 for i>j is called upper triangular matrix.
What is the determinant of a 2x3 matrix?
The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.
