The Code Family TwoBlockGroupAlgebra
The two-block group algebra (2BGA) codes extend the generalized bicycle (GB) codes by replacing the cyclic group with a general finite group, which can be non-abelian. The stabilizer generator matrices are defined using commuting square matrices derived from elements of a group algebra: HX = (A, B), HZ^T = [B; -A] where A and B are commuting ℓ × ℓ matrices, ensuring the CSS orthogonality condition.
References
A Few Examples from this Family
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Performance of Specific Decoders
TODO