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Golay code may refer to: Binary Golay code, an error-correcting code used in digital communications; Ternary Golay code (Golay) complementary sequences
In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the ternary Golay code , has a particularly deep and interesting connection to the theory of finite sporadic groups in mathematics. [ 1 ]
As with other codes, the maximum likelihood decoding of an LDPC code on the binary symmetric channel is an NP-complete problem, [24] shown by reduction from 3-dimensional matching. So assuming P != NP, which is widely believed, then performing optimal decoding for an arbitrary code of any useful size is not practical.
Prune and search is a method of solving optimization problems suggested by Nimrod Megiddo in 1983. [1]The basic idea of the method is a recursive procedure in which at each step the input size is reduced ("pruned") by a constant factor 0 < p < 1.
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
Increased Code Size: Unrolling increases the number of instructions, leading to larger program binaries. Higher Storage Requirements: The expanded code takes up more memory, which can be problematic for microcontrollers or embedded systems with limited storage. Instruction Cache Pressure: The unrolled loop consumes more space in the instruction ...
He has used Codeforces problems in his class, 15-295: Competition Programming and Problem Solving. [20] At the National University of Singapore , Codeforces rating is also used as an entrance qualifying criterion for registering for a 4-unit course, CS3233 Competitive Programming, as students have to achieve a rating of at least 1559 to be able ...
An object code optimizer, sometimes also known as a post pass optimizer or, for small sections of code, peephole optimizer, forms part of a software compiler. It takes the output from the source language compile step - the object code or binary file - and tries to replace identifiable sections of the code with replacement code that is more ...