Randomized trial explores a rational vertex operator algebra linked to a ternary code, implying new algebraic structures.
Key Points
This research investigates the unique characteristics of a vertex operator algebra associated with the ternary Hamming code, including its automorphism group and representation theory.
Developed a chiral conformal field theory related to the [13,7,3]₃ code.
Analysed the automorphism group and its properties numerically and theoretically.
Established a weight-filtration dictionary and examined the representation theory of the vertex operator algebra.
The automorphism group of the vertex operator algebra is determined as a geometric group of order 11,938,290,624.
The unique quadratic form coincides with X ↦ tr(X²) over psl₃(F₃).
The module category's half-integer-weight sectors are protected by the minimum distance of the code, revealing an involution in the S-matrix.
Cite This Study
Vladimer Merebashvili (2026) studied this question.