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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.