5 papers
From Round-Trip State Echo to Error Recovery: Snapshot-Resolved Quantum-Hardware Diagnostics
Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
End-to-end quantum-hardware scores need not transfer across workloads, compilations, or execution times. We specify a compilation-explicit screen-and-stress profile whose opening d…
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: $R_2(C_m)…
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…