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cs.IT2025
Maximally Extendable Product Codes are Good Coboundary Expanders
Gleb Kalachev, Pavel Panteleev
We investigate the coboundary expansion property of tensor product codes, known as product expansion, which plays an important role in recent constructions of good quantum LDPC cod…
cs.IT2024
Maximally Extendable Sheaf Codes
Pavel Panteleev, Gleb Kalachev
We study sheaf codes, a type of linear codes with a fixed hierarchical collection of local codes, viewed as a sheaf of vector spaces on a finite topological space we call coded spa…
cs.IT2023
High-dimensional Expansion of Product Codes is Stronger than Robust and Agreement Testability
Gleb Kalachev
We study the coboundary expansion property of product codes called product expansion, which played a key role in all recent constructions of good qLDPC codes. It was shown before t…