5 citations · 8 across the 7 of their papers we have counts for
7 papers
On the permutation automorphisms of binary cubic codes
Murat Altunbulak, Fatma Altunbulak Aksu, Roghayeh Hafezieh +1
A binary linear code whose permutation automorphism group has a fixed point free permutation of order is called a binary cubic code. The scope of this paper is to investigate t…
On the binary linear constant weight codes and their autormorphism groups
Murat Altunbulak, Fatma Altunbulak Aksu
We give a characterization for the binary linear constant weight codes by using the symmetric difference of the supports of the codewords. This characterization gives a corresponde…
Involutory permutation automorphisms of binary linear codes
Fatma Altunbulak Aksu, Roghayeh Hafezieh, İpek Tuvay
We investigate the properties of binary linear codes of even length whose permutation automorphism group is a cyclic group generated by an involution. Up to dimension or co-dimensi…
A characterization of abelian group codes in terms of their parameters
Fatma Altunbulak Aksu, İpek Tuvay
In 1979, Miller proved that for a group of odd order, two minimal group codes in are -equivalent if and only they have identical weight distribution. In 2014…
On the number of non-G-equivalent minimal abelian codes
Fatma Altunbulak Aksu, İpek Tuvay
Let be a finite abelian group. Ferraz, Guerreiro and Polcino Milies prove that the number of -equivalence classes of minimal abelian codes is equal to the number of -isom…
The quaternion group has ghost number three
Fatma Altunbulak Aksu, David J. Green
We prove that the group algebra of the quaternion group over any field of characteristic two has ghost number three.
Essential cohomology for elementary abelian p-groups
Fatma Altunbulak Aksu, David J. Green
For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the cl…