Optimal (v, 4, 2, 1) optical orthogonal codes with small parameters
Tsonka Baicheva, Svetlana Topalova
TL;DR
This paper classifies optimal (v, 4, 2, 1) optical orthogonal codes for v up to 75 and v up to 181, providing a comprehensive understanding of their existence and structure.
Contribution
It offers a complete classification of optimal (v, 4, 2, 1) OOCs for specific parameter ranges and constructs new codes for larger v.
Findings
Classified optimal codes for v <= 75, excluding v=71.
Constructed codes for all v <= 181 where optimal codes exist.
Identified parameters where optimal codes are not classified.
Abstract
Optimal (v, 4, 2, 1) optical orthogonal codes (OOC) with and are classified up to equivalence. One OOC is presented for all , for which an optimal OOC exists.
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Taxonomy
Topicsgraph theory and CDMA systems · Coding theory and cryptography · Optical Wireless Communication Technologies