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Specific Area Message Encoding (SAME) is a protocol used for framing and classification of broadcasting emergency warning messages. It was developed by the United States National Weather Service for use on its NOAA Weather Radio (NWR) network, and was later adopted by the Federal Communications Commission for the Emergency Alert System, then subsequently by Environment Canada for use on its ...
The code was originally proprietary, as Mattermost was used as an internal chat tool inside SpinPunch, a game developer studio, but was later open-sourced. [7] The 1.0 was released on October 2, 2015. [8] The project is maintained and developed by Mattermost Inc.
The linear independence of the columns of a generator matrix of an MDS code permits a construction of MDS codes from objects in finite projective geometry. Let P G ( N , q ) {\displaystyle PG(N,q)} be the finite projective space of (geometric) dimension N {\displaystyle N} over the finite field F q {\displaystyle \mathbb {F} _{q}} .
The Leech lattice can be explicitly constructed as the set of vectors of the form 2 −3/2 (a 1, a 2, ..., a 24) where the a i are integers such that + + + and for each fixed residue class modulo 4, the 24 bit word, whose 1s correspond to the coordinates i such that a i belongs to this residue class, is a word in the binary Golay code.
It represents quantum codes with binary vectors and binary operations rather than with Pauli operators and matrix operations respectively. We first give the mapping for the one-qubit case. Suppose [ A ] {\displaystyle \left[A\right]} is a set of equivalence classes of an operator A {\displaystyle A} that have the same phase :
Let H be a Hadamard matrix of order n.The transpose of H is closely related to its inverse.In fact: = where I n is the n × n identity matrix and H T is the transpose of H.To see that this is true, notice that the rows of H are all orthogonal vectors over the field of real numbers and each have length .
In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence between self-adjoint operators on a Hilbert space and one-parameter families
For practical purposes, parity-check matrix of a binary Goppa code is usually converted to a more computer-friendly binary form by a trace construction, that converts the -by-matrix over () to a -by-binary matrix by writing polynomial coefficients of () elements on successive rows.