3 papers
math.CO2026
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…
math.CO2019
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…
math.CO2018
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…