On constructions for optimal two-dimensional optical orthogonal codes

  • Authors:

  • Jianmin Wang;Xiuling Shan;Jianxing Yin

  • Affiliations:

  • Department of Mathematics, Suzhou University, Suzhou, People's Republic of China 215006;Department of Mathematics, Beijing Jiaotong University, Beijing, People's Republic of China 100044;Department of Mathematics, Suzhou University, Suzhou, People's Republic of China 215006

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2010

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Abstract

Two-dimensional optical orthogonal codes (2-D OOCs) are of current practical interest in fiber-optic code-division multiple-access networks as they enable optical communication at lower chip rate to overcome the drawbacks of nonlinear effects in large spreading sequences of one-dimensional codes. A 2-D OOC is said to be optimal if its cardinality is the largest possible. In this paper, we develop some constructions for optimal 2-D OOCs using combinatorial design theory. As an application, these constructions are used to construct an infinite family of new optimal 2-D OOCs with auto-correlation 1 and cross-correlation 1.