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- Center for Integrated Quantum Science and TechnologyDE303 papers
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8 papers · 2 filters
Power Decoding of Reed-Solomon Codes Revisited
Johan S. R. Nielsen
Power decoding, or "decoding by virtual interleaving", of Reed--Solomon codes is a method for unique decoding beyond half the minimum distance. We give a new variant of the Power d…
Dictionary Adaptation in Sparse Recovery Based on Different Types of Coherence
Henning Zörlein, Faisal Akram, Martin Bossert
In sparse recovery, the unique sparsest solution to an under-determined system of linear equations is of main interest. This scheme is commonly proposed to be applied to signal acq…
Computing preimages of Boolean Networks
Johannes Georg Klotz, Martin Bossert, Steffen Schober
In this paper we present an algorithm to address the predecessor problem of feed-forward Boolean networks. We propose an probabilistic algorithm, which solves this problem in linea…
Re-Encoding Techniques for Interpolation-Based Decoding of Reed-Solomon Codes
Christian Senger
We consider interpolation-based decoding of Reed-Solomon codes using the Guruswami-Sudan algorithm (GSA) and investigate the effects of two modification techniques for received vec…
Multi-Trial Guruswami--Sudan Decoding for Generalised Reed--Solomon Codes
Johan Sebastian Rosenkilde Nielsen, Alexander Zeh
An iterated refinement procedure for the Guruswami--Sudan list decoding algorithm for Generalised Reed--Solomon codes based on Alekhnovich's module minimisation is proposed. The me…
On a Multiple-Access in a Vector Disjunctive Channel
Alexey Frolov, Victor Zyablov, Vladimir Sidorenko +1
We address the problem of increasing the sum rate in a multiple-access system from [1] for small number of users. We suggest an improved signal-code construction in which in case o…