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In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound [ 1 ] proved by Joshi (1958) and even earlier by Komamiya (1953) .
There are several known constructions of rank codes, which are maximum rank distance (or MRD) codes with d = n − k + 1.The easiest one to construct is known as the (generalized) Gabidulin code, it was discovered first by Delsarte (who called it a Singleton system) and later by Gabidulin [2] (and Kshevetskiy [3]).
In object-oriented programming, the singleton pattern is a software design pattern that restricts the instantiation of a class to a singular instance.
The Singleton bound is that the sum of the rate and the relative distance of a block code cannot be much larger than 1: ... The theory of coding uses the N ...
Singleton pattern, a design pattern that allows only one instance of a class to exist; Singleton bound, used in coding theory; Singleton variable, a variable that is referenced only once; Singleton, a character encoded with one unit in variable-width encoding schemes for computer character sets
The first two of its ten chapters present background and introductory material, including Hamming distance, decoding methods including maximum likelihood and syndromes, sphere packing and the Hamming bound, the Singleton bound, and the Gilbert–Varshamov bound, and the Hamming(7,4) code.
Pages in category "Coding theory" The following 119 pages are in this category, out of 119 total. ... Singleton bound; Soliton distribution; Spherical code;
Software design patterns offer finer granularity compared to software architecture patterns and software architecture styles, as design patterns focus on solving detailed, low-level design problems within individual components or subsystems. Examples include Singleton, Factory Method, and Observer. [35] [36] [37]