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New enumeration results about the optical orthogonal codes

Authors
Journal
Information Processing Letters
0020-0190
Publisher
Elsevier
Publication Date
Volume
40
Issue
2
Identifiers
DOI: 10.1016/0020-0190(91)90014-9
Keywords
  • Combinatorial Problems
  • Data Processing
  • Optical Orthogonal Codes
  • Information Theory
  • Sequences

Abstract

Abstract Let φ( n, w, λ) be the largest possible size of an ( n, w, λ) optical orthogonal code. What is the exact value of ø( n, w, λ? This is an open problem! F. Chung, J. Salehi and V. Wei found in 1988 that φ( n, 3, 1) =⌊( n − 1)⧸6⌊ (for n ≠ 2 mod 6, where x⌊ means the integral part of the real number x). In this paper we will further show the exact values of φ( n, 3, 2) and φ( n, w, w − 1) in general.

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