Information technology Pseudocodewords of Parity-Check Codes CLEMSON UNIVERSITY Gretchen L. Matthews KositwattanarerkWittawatThe success of modern algorithms for the decoding problem such as message-passing iterative decoding and linear programming decoding lies in their local nature. This feature allows ...
procedure add (n: integer; A,B:word; PA,PB:bit; var S:word; var PS:bit; var CE, CF:bit); var i: integer; E, F, T: bit; begin E := PA; F := PB; for i:= 0 to n-1 do begin {in parallel, using previous inputs} S[i] := (E and F) ⊕ A[i] ⊕ B[i]; E ...
Note that no effort has been made to `optimize' most of the algorithms used in the programs below. The algorithms work well, but by no means should be used as a basis for an implementation. All these programs are free to use for academic and personal purposes only. Use them at your ow...
In this paper, we argue in the context of graph cover pseudocodeword that, for a code that permits a cycle-free Tanner graph, cycles have no effect on error performance as long as they are a part of redundant rows. Specifically, we characterize all parity-check matrices that are pseudocode...
We now give a pseudocode description of a modified sweep decoder that works for 3D toric codes defined on lattices with boundaries. We note that all addition below is carried out modulo 2, as we view errors and syndromes as \({\mathbb {F}}_2\) vectors. The decoder can fail in two ...
Propose a construction method to construct codes capable of correcting k asymmetric errors, for k > 1. 2. Designing algorithms for efficient encoding/decoding of the proposed codes. 54 3. Using the new partitioning algorithm to find better A-partition for some other values of p. The A-...
Multi-objective clustering algorithms that aim to optimize several measures simultaneously are not suitable for RT-datasets. For example, using a composite measure, such as the weighted sum or product of Euclidean distance (applied to demographics) and Jaccard distance (applied to diagnosis codes), ...
weightwinC. If not, we reject it (it can be obtained by another residual code), if yes we say that this code passes the parent test. Finally, we check for equivalence the codes obtained from the same residual code that have passed the parent test. A pseudocode is presented in Algorithm...
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In order to make our presentation more intuitive, instead of specifying the next message function CompNext(Π), we specify the pseudocode for the doNext(x) instruction of the compiled machine. We note that CompNext(Π) is implicitly defined by this description. TLR-RAM takes as input an ...