Mar 26, 2025 The McGee group is one of the two smallest groups with an outer automorphism that preserves conjugacy classes. My route to understanding this fact was a long and winding one ...

Using a method for constructing self-dual codes having an automorphism of odd prime order, we classify up to equivalence all binary self-dual codes with an automorphism of order 11 with 6 cycles and ...

Automorphism ensemble decoding (AED) is a highly parallel approach that enables decoding of polar and Reed-Muller (RM) codes with automorphisms, offering a practical solution with near-maximum ...

Python package for implementation of the Quantum Automorphism Ensemble Decoder [1], "AutDEC": AutDEC is designed for parallel ensemble decoding of quantum error-correcting codes with large ...

AUTOMORPHISM COMMUTATORSA consistent and comprehensive quantitative framework of the cells in the human body could benefit many areas of biology. We compile data to estimate cell mass, size range, and ...

We design the iterative algorithm that targets the automorphism-invariant optimal solution using graph automorphism. The algorithm is tractable in comparison to solving the intractable oblivious ...

Technological innovation that enables scaling of quantum computing underpins the Microsoft Azure Quantum program. In March of this year, we announced our demonstration of the underlying physics ...

This talk is intended to be an introductory overview of reconstruction from automorphism groups. How much of a theory is definable in the automorphism group of one of its models? If two first order ...

Abstract: A conic structure consists in giving a cone on each tangent space of a manifold. It gives naturally rise to two kinds of dynamics, one by seeing it as a set valued dynamical system, and a ...