LPDC codes: Code construction and decoding
Inactivation Decoding of LT and Raptor Codes: Analysis and Code Design
... tor codes under inactivation ...LT code, as a function of the output distribution, the number of input symbols and the decoding ...Raptor codes, enabling a tight control on the decoding ...
14
Construction and Iterative Decoding of LDPC Codes Over Rings for Phase Noisy Channels
... the construction of global and local check ...explain code construction and present a matrix inversion technique to obtain the generator ...iterative decoding for the convergence of these ...
9
Omega: a system for the effective construction, coding and decoding of block error-correcting codes
... alternant codes, we need to store the vectors h and a, and the codimension ...on decoding we will have to calculate syndromes, it is also advisable to calculate and store ...at decoding time we will ...
25
TITLE 9 CONSTRUCTION CODES AND FIRE CODE*
... fire code official, which will activate the gate on the approach of emergency apparatus with a battery back-up or manual mechanical disconnect in case of power ...fire code official for rapid, reliable ...
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A class of quantum LDPC codes: construction and performances under iterative decoding
... However, for taking advantage of the quantum nature of physical systems to process information, it is necessary to protect them from unwanted evolutions. Indeed, if quantum registers are not protected from noise, the ...
5
IS: Indian Code of Practice for Construction in Steel and its Comparison with International Codes
... umbrella code for general structural steel design which was published in 1984 reaffirmed in 1991 was much outdated with outdated ...outdated code would be detrimental to the very purpose of the code ...
14
List Decoding of Polar Codes
... RM Codes Interesting observations were made when using the combination of CRC and list decoding on polar and RM ...Polar codes improved with the combination compared to those without CRC, which is ...
66
On structure and decoding of Hermitian codes
... These polynomials are not the ideal polynomials yet, because again we may nd parasite solutions (except with τ = 1 ). In the previous examples we have used some polynomials as weak multi-dimensional general error locator ...
187
Iterative Decoding of Concatenated Codes.
... RSC codes in parallel concatenation rapidly suffer in perform ance w hen heavily punctured, as well as requiring a trellis term in atio n schem e for synchronisation ...block codes as com ponent ...
214
Stochastic Decoding of Turbo Codes
... the code trellis representation. Each stochastic decoding step is referred to as a decoding cycle (DC) and corresponds to the output of one new bit for each stochastic ...The decoding process ...
7
List-Decoding Multiplicity Codes
... polynomial codes called multiplicity codes was introduced. These codes extend the classical polynomial codes; they are based on evaluating polynomials and their ...multiplicity code of ...
34
Decoding of Algebraic Geometry Codes
... geometry codes are the Reed-Solomon codes. These error- correcting codes were invented by Irving ...These codes are widely used in coding theory mainly due to their ”good” parameters (good ...
69
Adaptive decoding of convolutional codes
... a code with generator matrix G = [ D 3 + D 2 + 1, D 3 + D 2 + D + 1] (19) with v = 3 path registers and corresponding syndrome former H T = [ D 3 + D 2 + D + 1, D 3 + D 2 + 1 ] T (20) The codewords are transmitted ...
6
Sequential Decoding of Binary Convolutional Codes
... somehow reduces the complexity of the sequential decoding algorithm. 4. Observe from (2) that the first term, P ℓn−1 j=0 log 2 Pr(r j |v j ), is the part that reflects the maximum-likelihood decision in (1), and ...
58
Graph based codes and iterative decoding
... maximum-likelihood decoding threshold of a code ensemble based on its weight enu- ...linear codes achieves capacity under maximum-likelihood ...ML decoding threshold for the ensemble of cycle ...
115
On the Performance of Sphere Decoding of Block Codes
... spherical codes are tight. A codeword in the (24, 12) Golay code is mapped into 12 QPSK symbols and transmitted over AWGN ...critical decoding radius in the 2 × 12 dimensional space is D φ = ...
5
Decoding Algorithm for Ternary RM Codes
... RM codes are familiar and important codes. Ternary RM codes are interpreted in terms of ...new decoding algorithm for a class of Simple Iterated codes is ...in decoding ...
15
Low complexity decoding of cyclic codes.
... the decoding time compared with using the original positions found by ...decision decoding on lower end Reed Solomon codes, a new decoding al gorithm is ...cyclic code properties to ...
155
A Code-specific Conservative Model for the Failure Rate of Bit-flipping Decoding of LDPC Codes with Cryptographic Applications
... the codes with the same length, dimension and number of parity checks, and a code-specific bound for a given ...design code parameters allowing to obtain DFR values such as the ones needed to employ ...
19
Bit flipping decoding for binary product codes
... Convolutional codes have proved to be equal or sometimes superior to block codes, but they present a challenge when analysing them ...repetition code is an example of a coding ...repetition ...
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