6 citations · 9 across the 6 of their papers we have counts for
7 papers
On linear lexicographic codes: Ninth column construction of the ternary Golay code
Yuki Irie
We characterize linear lexicographic -ary codes. Using this characterization, when , we determine the dimensions of linear lexicographic codes obtained from several bas…
On the stable Harbourne conjecture for ideals defining space monomial curves
Kosuke Fukumuro, Yuki Irie
For the ideal in defining a space monomial curve, we show that for some positive inte…
Combinatorial Game Distributions of Steiner Systems
Yuki Irie
The -position sets of some combinatorial games have special combinatorial structures. For example, the -position set of the hexad game, first investigated…
A base-p Sprague-Grundy type theorem for p-calm subtraction games: Welter's game and representations of generalized symmetric groups
Yuki Irie
For impartial games and , the Sprague-Grundy function of the disjunctive sum is equal to the Nim-sum of their Sprague-Grundy functions. In this paper, we introduce…
The Sprague-Grundy Functions of Saturations of Misere Nim
Yuki Irie
We consider misère Nim as a normal-play game obtained from Nim by removing the terminal position. While explicit formulas are known for the Sprague-Grundy functions of Nim and Welt…
Mixed-Radix Nim
Yuki Irie
We present take-away games whose Sprague-Grundy functions are given by the Nim sum of heap sizes in a mixed base . Let be the set of such games. We give a necessary and su…
p-Saturations of Welter's Game and the Irreducible Representations of Symmetric Groups
Yuki Irie
We establish a relation between the Sprague-Grundy function of a -saturation of Welter's game and the degrees of the ordinary irreducible representations of symmetri…