4 papers · 1 filter
A criterion for determining whether multiple shells support a -design
Madoka Awada, Reina Ishikawa, Tsuyoshi Miezaki +1
In this paper, we provide a criterion for determining whether multiple shells support a -design. We construct as a corollary an infinite series of -designs using power residu…
Exceptional designs in some extended quadratic residue codes
Reina Ishikawa
In the present paper, we give proofs of the existence of a 3-design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code o…
Jacobi polynomials and design theory II
Himadri Chakraborty, Reina Ishikawa, Yuuho Tanaka
In this paper, we introduce some new polynomials associated to linear codes over . In particular, we introduce the notion of split complete Jacobi polynomials attac…
Harmonic Tutte polynomials of matroids II
Thomas Britz, Himadri Shekhar Chakraborty, Reina Ishikawa +2
In this work, we introduce the harmonic generalization of the -tuple weight enumerators of codes over finite Frobenius rings. A harmonic version of the MacWilliams-type identity…