From the 1 of 4 linked papers with an AI index.
4 papers
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)…
Multiset Deletion Codes: Cyclic Constructions, Bounds, and Exact Results
Avraham Kreindel, Isaac Barouch Essayag, Aryeh Lev Zabokritskiy
The paper investigates deletion‑correcting codes for multisets over a q‑ary alphabet, providing a cyclic Sidon‑type construction with low redundancy and linear‑time decoding, and d…
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…
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…