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pro vyhledávání: '"Momihara, Koji"'
In 2013, Nebe and Villar gave a series of ternary self-dual codes of length $2(p+1)$ for a prime $p$ congruent to $5$ modulo $8$. As a consequence, the third ternary extremal self-dual code of length $60$ was found. We show that the ternary self-dual
Externí odkaz:
http://arxiv.org/abs/2205.15498
Autor:
Momihara, Koji, Xiang, Qing
In \cite{M18}, the first author gave a construction of strongly regular Cayley graphs on the additive group of finite fields by using three-valued Gauss periods. In particular, together with the result in \cite{BLMX}, it was shown that there exists a
Externí odkaz:
http://arxiv.org/abs/2110.10959
Autor:
Momihara, Koji
Chowla~(1962), McEliece~(1974), Evans~(1977, 1981) and Aoki~(1997, 2004, 2012) studied Gauss sums, some integral powers of which are in the field of rational numbers. Such Gauss sums are called {\it pure}. In particular, Aoki (2004) gave a necessary
Externí odkaz:
http://arxiv.org/abs/2011.14523
Autor:
Momihara, Koji
In the past two decades, many researchers have studied {\it index $2$} Gauss sums, where the group generated by the characteristic $p$ of the underling finite field is of index $2$ in the unit group of ${\mathbb Z}/m{\mathbb Z}$ for the order $m$ of
Externí odkaz:
http://arxiv.org/abs/2011.14528
Publikováno v:
Adv. Math. 385 (2021)
Cameron-Liebler line classes were introduced in \cite{CL}, and motivated by a question about orbits of collineation groups of $\PG(3,q)$. These line classes have appeared in different contexts under disguised names such as Boolean degree one function
Externí odkaz:
http://arxiv.org/abs/2006.14206
Autor:
Momihara, Koji
Davis and Jedwab (1997) established a great construction theory unifying many previously known constructions of difference sets, relative difference sets and divisible difference sets. They introduced the concept of building blocks, which played an i
Externí odkaz:
http://arxiv.org/abs/2005.03183
Let $q$ be a prime power of the form $q=12c^2+4c+3$ with $c$ an arbitrary integer. In this paper we construct a difference family with parameters $(2q^2;q^2,q^2,q^2,q^2-1;2q^2-2)$ in ${\mathbb Z}_2\times ({\mathbb F}_{q^2},+)$. As a consequence, by a
Externí odkaz:
http://arxiv.org/abs/1907.02623
Autor:
Momihara, Koji, Xiang, Qing
We revisit the problem of constructing Menon-Hadamard difference sets. In 1997, Wilson and Xiang gave a general framework for constructing Menon-Hadamard difference sets by using a combination of a spread and four projective sets of type Q in ${\math
Externí odkaz:
http://arxiv.org/abs/1905.08470
Autor:
Leung, Ka Hin, Momihara, Koji
In this paper, we obtain a number of new infinite families of Hadamard matrices. Our constructions are based on four new constructions of difference families with four or eight blocks. By applying the Wallis-Whiteman array or the Kharaghani array to
Externí odkaz:
http://arxiv.org/abs/1809.05253