Zobrazeno 1 - 10
of 383
pro vyhledávání: '"A. Zumbrägel"'
Autor:
Zumbrägel, Jens
The analysis of the decoding failure rate of the bit-flipping algorithm has received increasing attention. For a binary linear code we consider the minimum number of rows in a parity-check matrix such that the bit-flipping algorithm is able to correc
Externí odkaz:
http://arxiv.org/abs/2402.01403
Inspired by the visualization of dental plaque at the dentist's office, this article proposes a novel visualization of redundancies in relational data. Our approach is based on a well-principled information-theoretic framework that has so far seen li
Externí odkaz:
http://arxiv.org/abs/2306.02890
Autor:
Gnilke, Oliver W., Zumbrägel, Jens
We consider actions of a group or a semigroup on a set, which generalize the setup of discrete logarithm based cryptosystems. Such cryptographic group actions have gained increasing attention recently in the context of isogeny-based cryptography. We
Externí odkaz:
http://arxiv.org/abs/2301.01657
Autor:
Greferath, Marcus, Zumbrägel, Jens
We present a list decoding algorithm for quaternary negacyclic codes over the Lee metric. To achieve this result, we use a Sudan-Guruswami type list decoding algorithm for Reed-Solomon codes over certain ring alphabets. Our decoding strategy for nega
Externí odkaz:
http://arxiv.org/abs/2202.03977
Autor:
Nam, Tran Giang, Zumbrägel, Jens
We investigate the algebra of an ample groupoid, introduced by Steinberg, over a semifield S. In particular, we obtain a complete characterization of congruence-simpleness for Steinberg algebras of second-countable ample groupoids, extending the well
Externí odkaz:
http://arxiv.org/abs/2109.01555
This paper presents the first decoding algorithm for Gabidulin codes over Galois rings with provable quadratic complexity. The new method consists of two steps: (1) solving a syndrome-based key equation to obtain the annihilator polynomial of the err
Externí odkaz:
http://arxiv.org/abs/2102.02157
Autor:
Granger, Robert, Kleinjung, Thorsten, Lenstra, Arjen K., Wesolowski, Benjamin, Zumbrägel, Jens
This paper reports on the computation of a discrete logarithm in the finite field $\mathbb F_{2^{30750}}$, breaking by a large margin the previous record, which was set in January 2014 by a computation in $\mathbb F_{2^{9234}}$. The present computati
Externí odkaz:
http://arxiv.org/abs/2008.02717
Autor:
Nam, Tran Giang, Zumbrägel, Jens
We investigate the algebra of a Hausdorff ample groupoid, introduced by Steinberg, over a commutative semiring S. In particular, we obtain a complete characterization of congruence-simpleness for such Steinberg algebras, extending the well-known char
Externí odkaz:
http://arxiv.org/abs/2004.00889
Autor:
Nam, Tran Giang, Zumbrägel, Jens
Publikováno v:
In Journal of Pure and Applied Algebra March 2023 227(3)
