26 citations · 49 across the 41 of their papers we have counts for
9 papers · 1 filter
Pseudo-normalized Hecke eigenform and its application to extremal -modular lattices
Tsuyoshi Miezaki, Gabriele Nebe
It is shown that extremal -modular lattices of ranks and are generated by their vectors of minimal norm. In the proof, we use certain properties of the difference of n…
On the cycle index and the weight enumerator II
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Manabu Oura
In a previous paper, the second and third named author introduced the concept of the complete cycle index and discussed a relation with the complete weight enumerator in coding the…
Tutte polynomial, complete invariant, and theta series
Misaki Kume, Tsuyoshi Miezaki, Tadashi Sakuma +1
In this study, we present two results that relate Tutte polynomials. First, we provide new and complete polynomial invariants for graphs. We note that the number of variables of ou…
Average of complete joint weight enumerators and self-dual codes
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we give a representation of the average of complete joint weight enumerators of two linear codes of length over and in terms of…
A note on the Assmus--Mattson theorem for some binary codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
We previously proposed the first nontrivial examples of a code having support -designs for all weights obtained from the Assmus-Mattson theorem and having support -designs f…
Optimal antipodal spherical codes in the space of spherical harmonics
Tsuyoshi Miezaki
In a previous study, we presented a construction of spherical 3-designs. In the current study, using this construction, we present new optimal antipodal spherical codes in the spac…