1 citations · 2 across the 6 of their papers we have counts for
4 papers · 1 filter
Periodicity of weight enumerators for codes generated by an integral matrix
Koji Imamura, Norihiro Nakashima, Takuya Saito
In the theory of error-correcting codes, the minimum weight and the weight enumerator play a crucial role in evaluating the error-correcting performance. In this paper, by viewing…
Arithmetic non-very generic arrangements
Pragnya Das, Takuya Saito, Simona Settepanella
A discriminantal hyperplane arrangement B(n,k,A) is constructed from a given (generic) hyperplane arrangement A, which is classified as either very generic or non-very generic depe…
Degeneration in discriminantal arrangements
Takuya Saito
Discriminantal arrangements are hyperplane arrangements, which are generalized braid ones. They are constructed from given hyperplane arrangements, but their combinatorics are not…
A categorification for the characteristic polynomial of matroids
Takuya Saito, So Yamagata
In the present paper, we provide cohomology groups for matroids, as a categorification of the characteristic polynomial of matroids. The construction depends on the ``quasi-represe…