On silver and golden optical orthogonal codes

DOI10.26493/2590-9770.1236.ce4zbMath1422.94049OpenAlexW2886289539WikidataQ129384573 ScholiaQ129384573MaRDI QIDQ5198018

Marco Buratti

Publication date: 2 October 2019

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/2590-9770.1236.ce4

zbMATH Keywords

difference packingoptimal optical orthogonal codestrong difference familydifference multisetPell and Fibonacci numberssilver and golden ratio

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Combinatorial codes (94B25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Optimal 2-D \((n\times m,3,2,1)\)-optical orthogonal codes and related equi-difference conflict avoiding codes ⋮ Balanced \(( \mathbb{Z}_{2u}\times \mathbb{Z}_{38v}, \{3, 4, 5\}, 1)\) difference packings and related codes ⋮ Some progress on optimal 2-D \((n\times m,3,2,1) \)-optical orthogonal codes ⋮ On optimal (Z6m×Z6n,4,1) and (Z2m×Z18n,4,1) difference packings and their related codes ⋮ Partitionable sets, almost partitionable sets, and their applications ⋮ On balanced \(( \mathbb{Z}_{4 u} \times \mathbb{Z}_{8 v}, \{4, 5 \}, 1)\) difference packings ⋮ Maximum sets of mutually disjoint 2-chromatic Steiner quadruple systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial constructions for maximum optical orthogonal signature pattern codes
• Some 20-regular CDP(5,1;20\(u\)) and their applications
• From a 1-rotational RBIBD to a partitioned difference family
• Further progress on difference families with block size 4 or 5
• Strong difference families, difference covers, and their applications for relative difference families
• Combinatorial designs and the theorem of Weil on multiplicative character sums
• Some combinatorial constructions for optical orthogonal codes
• New 2-designs from strong difference families
• Frame difference families and resolvable balanced incomplete block designs
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Hadamard partitioned difference families and their descendants
• Perfect difference families, perfect difference matrices, and related combinatorial structures
• Strong difference families over arbitrary graphs
• Optical orthogonal codes: design, analysis and applications
• A packing problem its application to Bose's families
• Pell and Pell–Lucas Numbers with Applications

This page was built for publication: On silver and golden optical orthogonal codes