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In coding theory, a generator matrix is a matrix whose rows form a basis for a linear code. The codewords are all of the linear combinations of the rows of this matrix, that is, the linear code is the row space of its generator matrix.
Display a year or month calendar Template parameters [Edit template data] Parameter Description Type Status Year year the ordinal year number of the calendar Default current Number suggested Month month whether to display a single month instead of a whole year, and which one Default empty Example current, next, last, 1, January String suggested Show year show_year whether to display the year ...
Lexicographic code: Order the vectors in V lexicographically (i.e., interpret them as unsigned 24-bit binary integers and take the usual ordering). Starting with w 0 = 0, define w 1, w 2, ..., w 12 by the rule that w n is the smallest integer which differs from all linear combinations of previous elements in at least eight coordinates.
In Python, a generator can be thought of as an iterator that contains a frozen stack frame. Whenever next() is called on the iterator, Python resumes the frozen frame, which executes normally until the next yield statement is reached. The generator's frame is then frozen again, and the yielded value is returned to the caller.
The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix.This is a matrix such that () = holds for all {,}, where the message is viewed as a row vector and the vector-matrix product is understood in the vector space over the finite field.
A self-dual code is one which is its own dual. This implies that n is even and dim C = n/2.If a self-dual code is such that each codeword's weight is a multiple of some constant >, then it is of one of the following four types: [1]
Cheetah (or CheetahTemplate) is a template engine that uses the Python programming language.It can be used standalone or combined with other tools and frameworks. It is often used for server-side scripting and dynamic web content by generating HTML, but can also be used to generate source code.
In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .