2 citations · 7 across the 7 of their papers we have counts for
7 papers
On the Riemann hypothesis for self-dual weight enumerators of genus three
Koji Chinen, Yuki Imamura
In this note, we give an equivalent condition for a self-dual weight enumerator of genus three to satisfy the Riemann hypothesis. We also observe the truth and falsehood of the Rie…
On some families of invariant polynomials divisible by three and their zeta functions
Koji Chinen
In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis o…
On some families of divisible formal weight enumerators and their zeta functions
Koji Chinen
The formal weight enumerators were first introduced by M. Ozeki, and it was shown in the author's previous paper that there are various families of divisible formal weight enumerat…
Extremal invariant polynomials not satisfying the Riemann hypothesis
Koji Chinen
Zeta functions for linear codes were defined by Iwan Duursma in 1999. They were generalized to the case of some invariant polynomials by the preset author. One of the most importan…
An abundance of invariant polynomials satisfying the Riemann hypothesis
Koji Chinen
In 1999, Iwan Duursma defined the zeta function for a linear code as a generating function of its Hamming weight enumerator. It can also be defined for other homogeneous polynomial…
Zeta functions for formal weight enumerators and an analogue of the Mallows-Sloane bound
Koji Chinen
In 1999, Iwan Duursma defined the zeta function for a linear code as a generating function of its Hamming weight enumerator. It has various properties similar to those of the zeta…