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arXiv · 1501.04797

Solving Shift Register Problems over Skew Polynomial Rings using Module Minimisation

Wenhui Li·Johan S. R. Nielsen·Sven Puchinger·Vladimir Sidorenko
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Abstract

For many algebraic codes the main part of decoding can be reduced to a shift register synthesis problem. In this paper we present an approach for solving generalised shift register problems over skew polynomial rings which occur in error and erasure decoding of $\ell$-Interleaved Gabidulin codes. The algorithm is based on module minimisation and has time complexity $O(\ell \mu^2)$ where $\mu$ measures the size of the input problem.

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Wenhui Li, Johan S. R. Nielsen, Sven Puchinger, Vladimir Sidorenko. 2015-01-20. Solving Shift Register Problems over Skew Polynomial Rings using Module Minimisation. https://arxiv.org/abs/1501.04797

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