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- Center for Integrated Quantum Science and TechnologyDE59 papers
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5 papers · 2 filters
Error Correction for Physical Unclonable Functions Using Generalized Concatenated Codes
Sven Müelich, Sven Puchinger, Martin Bossert +2
Physical Unclonable Functions can be used for secure key generation in cryptographic applications. It is explained how methods from coding theory must be applied in order to ensure…
Reduced List-Decoding of Reed--Solomon Codes Using Reliability Information
Mostafa Hosni Mohamed, Johan S. R. Nielsen, Martin Bossert
We decode Reed-Solomon codes using soft information provided at the receiver. The Extended Euclidean Algorithm (EEA) is considered as an initial step to obtain an intermediate resu…
Sub-quadratic Decoding of One-point Hermitian Codes
Johan S. R. Nielsen, Peter Beelen
We present the first two sub-quadratic complexity decoding algorithms for one-point Hermitian codes. The first is based on a fast realisation of the Guruswami-Sudan algorithm by us…
List and Unique Error-Erasure Decoding of Interleaved Gabidulin Codes with Interpolation Techniques
Antonia Wachter-Zeh, Alexander Zeh
A new interpolation-based decoding principle for interleaved Gabidulin codes is presented. The approach consists of two steps: First, a multi-variate linearized polynomial is const…
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 meth…