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cs.IT2026
Quantum Codes with Transversal Gates and Sublinear -Stabilizers
Ohad Elishco, Itzhak Tamo
We construct asymmetric quantum CSS codes with transversal \(CCZ\) gates from algebraic expander codes \cite{KT26}. For every fixed \(m\ge 3\), our growing-alphabet codes have leng…
cs.IT2026
Codes with Large Minimum Distance in Product Codes: Explicit Constructions and Bounds
Amit Berman, Yaron Shany, Itzhak Tamo
Products of MDS codes are of major practical importance; for a recent example, they are used in Data Availability Sampling (DAS) in blockchain networks such as Celestia and as part…
cs.IT2026
Algebraic Expander Codes
Swastik Kopparty, Itzhak Tamo
Expander (Tanner) codes combine sparse graphs with local constraints, enabling linear-time decoding and asymptotically good distance--rate tradeoffs. A standard constraint-counting…