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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 design pattern. In software engineering, a design pattern describes a relatively small, well-defined aspect (i.e. functionality) of a computer program in terms of how to write the code . Using a pattern is intended to leverage an existing concept rather than re-inventing it. This can decrease the time to develop software and increase ...
The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix . This is a matrix such that Had ( x ) = x ⋅ G {\displaystyle {\text{Had}}(x)=x\cdot G} holds for all x ∈ { 0 , 1 } k {\displaystyle x\in \{0,1\}^{k}} , where the message x {\displaystyle x} is viewed as a row vector and the vector-matrix product ...
Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings. When r and m are integers with 0 ≤ r ≤ m, the Reed–Muller code with parameters r and m is denoted as RM ( r , m ). When asked to encode a message consisting of k bits, where holds, the RM ( r , m) code produces a codeword ...
An architectural pattern is a general, reusable resolution to a commonly occurring problem in software architecture within a given context. [1] The architectural patterns address various issues in software engineering , such as computer hardware performance limitations, high availability and minimization of a business risk .
Client–server model (multitier architecture exhibits this style) Cloud computing patterns. Component-based. Database-centric. Domain-driven designing. Competing Consumers pattern. Event-driven aka implicit invocation. Hexagonal Architecture (also known as Ports and Adapters) Layered.
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]
4+1 is a view model used for "describing the architecture of software-intensive systems, based on the use of multiple, concurrent views". [ 1] The views are used to describe the system from the viewpoint of different stakeholders, such as end-users, developers, system engineers, and project managers. The four views of the model are logical ...