Recovery Algorithms for Linear Batch Codes
信息论
2026-05-12 v1 math.IT
摘要
Various types of recovery algorithms for batch codes have been investigated, such as asynchronous recovery or recovery as afforded by batch codes obtained from Almost Affinely Disjoint (AAD) families. In this paper, we offer the first systematic investigation of linear batch codes equipped with particular recovery algorithms. We introduce and investigate various known and new types of algorithms, and we investigate the order hierarchy of these types of batch codes. The simplest known recovery algorithms are those associated with graph-based batch codes. We investigate the resulting batch codes for arbitrary bipartite graphs, thereby generalizing some known results.
引用
@article{arxiv.2605.09748,
title = {Recovery Algorithms for Linear Batch Codes},
author = {Baran Düzgün and Henk D. L. Hollmann and Ago-Erik Riet and Vitaly Skachek and Vladislav Taranchuk},
journal= {arXiv preprint arXiv:2605.09748},
year = {2026}
}
备注
Long version of a paper submitted to ISITA 2026