4 papers
Fibonacci and Lucas numbers arising from two-component spanning forests of wheel graphs
Tsuyoshi Miezaki, Shunya Tamura
In this paper, we present a constructive bijection between a conditioned spanning forest of the wheel graph and a spanning tree of the fan graph . In addition, by ap…
Higher and extended Jacobi polynomials for codes
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we introduce Jacobi polynomial generalizations of several classical invariants in coding theory over finite fields, specifically, the higher and extended weight enum…
On Lattice Isomorphism Problems for Lattices from LCD Codes over Finite Rings
Yusaku Nishimura, Katsuyuki Takashima, Tsuyoshi Miezaki
These days, post-quantum cryptography based on the lattice isomorphism problem has been proposed. Ducas-Gibbons introduced the hull attack, which solves the lattice isomorphism pro…
Neighbors, neighbor graphs and invariant rings in coding theory
Himadri Shekhar Chakraborty, Williams Chiari, Tsuyoshi Miezaki +1
In the present paper, we discuss the class of Type III and Type IV codes from the perspectives of neighbors. Our investigation analogously extends the results originally presented…