Constructions of multilength, variable weight optical orthogonal codes

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K04982
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Tokyo University of Science
• Principal Investigator: Nobuko Miyamoto 東京理科大学, 理工学部情報科学科, 准教授 (20318207)
• Co-Investigator(Kenkyū-buntansha): 篠原 聡 明星大学, 情報学部, 教授 (40328985)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 光直交符号 / 組合せデザイン / 有限射影幾何

Outline of Final Research Achievements

The study of optical orthogonal codes is motivated by an application in optical orthogonal code-division multiple-access communication systems. To simultaneously support multimedia services, multilength or variable weight optical orthogonal codes are essential. We gave a construction method for multilength optical orthogonal codes with weight three. We have shown that some optical orthogonal codes obtained from lines of a projective space satisfy the property called λ-compatible and they yield some new infinite class of multilength optical orthogonal codes with weight three．

Free Research Field

組合せ論