Multichannel Conflict-Avoiding Codes of Weights Three and Four
Abstract
Conflict-avoiding codes (CACs) were introduced by Levenshtein as a single-channel transmission scheme for a multiple-access collision channel without feedback. When the number of simultaneously active source nodes is less than or equal to the weight of a CAC, it is able to provide a hard guarantee that each active source node transmits at least one packet successfully within a fixed time duration, no matter what the relative time offsets between the source nodes are. In this paper, we extend CACs to multichannel CACs for providing such a hard guarantee over multiple orthogonal channels. Upper bounds on the number of codewords for multichannel CACs of weights three and four are derived, and constructions that are optimal with respect to these bounds are presented.
Cite
@article{arxiv.2009.11754,
title = {Multichannel Conflict-Avoiding Codes of Weights Three and Four},
author = {Yuan-Hsun Lo and Kenneth W. Shum and Wing Shing Wong and Yijin Zhang},
journal= {arXiv preprint arXiv:2009.11754},
year = {2021}
}
Comments
12 pages. Accepted for publication in IEEE Transaction on Information Theory