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A generator matrix for a linear [,,]-code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
Software versioning is the process of assigning either unique version names or unique version numbers to unique states of computer software. Within a given version number category (e.g., major or minor), these numbers are generally assigned in increasing order and correspond to new developments in the software.
pip (package manager) pip (also known by Python 3 's alias pip3) is a package-management system written in Python and is used to install and manage software packages. [ 4] The Python Software Foundation recommends using pip for installing Python applications and its dependencies during deployment. [ 5] Pip connects to an online repository of ...
dpkg is the software at the base of the package management system in the free operating system Debian and its numerous derivatives. dpkg is used to install, remove, and provide information about .deb packages . dpkg (Debian Package) itself is a low-level tool. APT (Advanced Package Tool), a higher-level tool, is more commonly used than dpkg as ...
APT is a collection of tools distributed in a package named apt. A significant part of APT is defined in a C++ library of functions; APT also includes command-line programs for dealing with packages, which use the library. Three such programs are apt, apt-get and apt-cache. They are commonly used in examples because they are simple and ubiquitous.
aptitude (software) aptitude is a front end to APT, the Debian package manager. [ 4] It displays a list of software packages and allows the user to interactively pick packages to install or remove. It has a search system utilizing flexible search patterns. It was initially created for Debian, but has appeared in RPM -based distributions as well.
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.
Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors [1] would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations. [2]