6 papers
Quantum Leakage from Shamir Sharing with Correlated Resources
Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
We study leakage from Shamir secret sharing when each device uses its share to produce one qubit from an initial quantum resource independent of the secret and sharing randomness.…
From Round-Trip State Echo to Error Recovery: Snapshot-Resolved Quantum-Hardware Diagnostics
Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
Quantum-hardware scores vary across workloads and execution times. We study these variations through repeated communication and deletion-recovery experiments on superconducting and…
The Exact Second Generalized Covering Radius of Binary Primitive Triple-Error-Correcting BCH Codes
Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
Let be the binary primitive triple-error-correcting BCH code of length . We determine its second generalized covering radius exactly: f…
Polynomial Constructions and Deletion-Ball Geometry for Multiset Deletion Codes
Avraham Kreindel, Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
We study error-correcting codes in the space of length- multisets over a -ary alphabet under the deletion metric, motivated by permutation channels in whi…
Multiset Deletion Codes: Cyclic Constructions, Bounds, and Exact Results
Avraham Kreindel, Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
We study deletion-correcting codes in the space of length- multisets over a -ary alphabet. We present an explicit cyclic Sidon-type construction for arbitrary alphabet size $…
Optimal Functional -Batch Codes: Exploring New Sufficient Conditions
Lev Yohananov, Isaac Barouch Essayag
A functional -batch code of dimension consists of servers storing linear combinations of linearly independent information bits. These codes are designed to recover a…