1 citations · 1 across the 3 of their papers we have counts for
5 papers
A Gröbner Approach to Dual-Containing Cyclic Left Module -Codes over Finite Commutative Frobenius Rings
Hedongliang Liu, Cornelia Ott, Felix Ulmer
For a skew polynomial ring where is a commutative Frobenius ring, an endomorphism of and a -derivation of , we consider cyclic left module codes…
Geometrical Properties of Balls in Sum-Rank Metric
Cornelia Ott, Hedongliang Liu, Antonia Wachter-Zeh
The sum-rank metric arises as an algebraic approach for coding in MIMO block-fading channels and multishot network coding. Codes designed in the sum-rank metric have raised interes…
Covering Properties of Sum-Rank Metric Codes
Cornelia Ott, Hedongliang Liu, Antonia Wachter-Zeh
The sum-rank metric can be seen as a generalization of both, the rank and the Hamming metric. It is well known that sum-rank metric codes outperform rank metric codes in terms of t…
Bounds and Genericity of Sum-Rank-Metric Codes
Cornelia Ott, Sven Puchinger, Martin Bossert
We derive simplified sphere-packing and Gilbert--Varshamov bounds for codes in the sum-rank metric, which can be computed more efficiently than previous ones. They give rise to asy…
Reed-Solomon Codes over Fields of Characteristic Zero
Carmen Sippel, Cornelia Ott, Sven Puchinger +1
We study Reed--Solomon codes over arbitrary fields, inspired by several recent papers dealing with Gabidulin codes over fields of characteristic zero. Over the field of rational nu…