Juergen Bierbrauer

activity

20092020

most citedA projection construction for semifields

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.CO2020

Optimal additive quaternary codes of low dimension

Juergen Bierbrauer, Stefano Marcugini, Fernanda Pambianco

An additive quaternary $[n, k, d]$ -code (length $n,$ quaternary dimension $k,$ minimum distance $d$ ) is a $2 k$ -dimensional F_2-vector space of $n$ -tuples with entries in $Z_2\times Z…

math.CO2016

A combinatorial construction of an M_{12}-invariant code

Juergen Bierbrauer, Stefano Marcugini, Fernanda Pambianco

In this work we summarized some recent results to be included in a forthcoming paper. A ternary [66,10,36]_3-code admitting the Mathieu group M_{12} as a group of automorphisms has…

math.CO2012★ 2 cited

A projection construction for semifields

Juergen Bierbrauer, William M. Kantor

Simple constructions are given for finite semifields that include as special cases both old semifields and recently constructed semifields.

quant-ph2009

All the stabilizer codes of distance 3

Sixia Yu, Juergen Bierbrauer, Ying Dong +2

We give necessary and sufficient conditions for the existence of stabilizer codes $[[n, k, 3]]$ of distance 3 for qubits: $n - k \geq ⌈ lo g_{2} (3 n + 1)⌉ + ε_{n}$ where $ε_{n} = 1$ if $n=8\…