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The generator matrix. The Reed–Muller RM(r, m) code of order r and length N = 2 m is the code generated by v 0 and the wedge products of up to r of the v i, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the
This is a consequence of the fact that a parity check matrix of is a generator matrix of the dual code. G is a matrix, while H is a () matrix. Equivalent codes. Codes C 1 and C 2 are equivalent (denoted C 1 ~ C 2) if one code can be obtained from the other via the following two transformations: arbitrarily permute the components, and
Schematic depiction of a concatenated code built upon an inner code and an outer code. This is a pictorial representation of a code concatenation, and, in particular, the Reed–Solomon code with n=q=4 and k=2 is used as the outer code and the Hadamard code with n=q and k=log q is used as the inner code. Overall, the concatenated code is a -code.
A generator matrix for the binary Golay code is I A, where I is the 12×12 identity matrix, and A is the complement of the adjacency matrix of the icosahedron. A convenient representation. It is convenient to use the "Miracle Octad Generator" format, with co-ordinates in an array of 4 rows, 6 columns. Addition is taking the symmetric difference.
Discord provides official bot APIs which allow custom elements such as dropdowns and buttons. In spring 2022, Discord released an official "app directory" where server owners can add bots to their servers in-Discord. The Verge described bots as an "important part of Discord". Unofficial extensions
Matrix (sometimes stylized as [matrix]) is an open standard and communication protocol for real-time communication. It aims to make real-time communication work seamlessly between different service providers, in the way that standard Simple Mail Transfer Protocol email currently does for store-and-forward email service, by allowing users with accounts at one communications service provider to ...
CONNECT <target server> <port> [<remote server>] (RFC 2812) Instructs the server <remote server> (or the current server, if <remote server> is omitted) to connect to <target server> on port <port>. [3] [4] This command should only be available to IRC operators. Defined in RFC 1459; the <port> parameter became mandatory in RFC 2812.
The family shared a copy of the letter with CNN. In 2020 when he was 7, Suborno began receiving invitations from colleges in India to teach, which he does three times a year, his dad says.