Optical Coding Theory with Prime

Optical coding theory has long lacked a book of its own, even though wireless coding and optical CDMA hardware have each been covered elsewhere. This volume, written by the two specialists behind it, brings the core ideas and recent progress of the field together, centering on prime code families and including several non-prime families as well. It also looks at how these codes can be applied in optical systems and networks that rely on coding.

The opening chapters lay out the mathematical foundations: Galois fields, matrix methods, and the Gaussian and combinatorial techniques used in analysis. Worked examples then show how optical codes are built, how their properties are measured, and how they perform across different uses. Proofs are presented in a theorem-and-proof format, with each result explained so the central point is easy to follow without wading through lengthy derivations.

Coverage includes one-dimensional and two-dimensional codes in asynchronous and synchronous forms, multilength codes, and three-dimensional prime codes. Readers are expected to know linear algebra, the basics of coding theory, probability, and communications theory. The book is aimed at those who want a dependable reference on this emerging area and the practical know-how to design coding-based optical systems and networks. For the hardware side of optical CDMA, the authors point readers to a companion volume published by CRC Press in 2005.