1 citations · 2 across the 4 of their papers we have counts for
5 papers
An asymptotic property of quaternary additive codes
Jürgen Bierbrauer, Stefano Marcugini, Fernanda Pambianco
Let be the maximal length such that a quaternary additive -code exists. We solve a natural asymptotic problem by determining the lim sup of $n_k(s)/…
Additive quaternary codes related to exceptional linear quaternary codes
Juergen Bierbrauer, Stefano Marcugini, Fernanda Pambianco
We study additive quaternary codes whose parameters are close to those of the extended cyclic [12; 6; 6]4-code or to the quaternary linear codes generated by the elliptic quadric i…
A family of semifields in characteristic 2
Daniele Bartoli, Jurgen Bierbrauer, Gohar Kyureghyan +3
We construct and describe the basic properties of a family of semifields in characteristic The construction relies on the properties of projective polynomials over finite fiel…
The nonexistence of an additive quaternary [15,5,9]-code
Daniele Bartoli, Juergen Bierbrauer, Giorgio Faina +2
We show that no additive [15,5,9]_4-code exists. As a consequence the largest dimension k such that an additive quaternary [15,k,9]_4-code exists is k=4.5.
The non-existence of a [[13,5,4]] quantum stabilizer code
J. Bierbrauer, S. Marcugini, F. Pambianco
We solve one of the oldest problems in the theory of quantum stabilizer codes by proving the non-existence of quantum [[13,5,4]]-codes.