## Abstract Several direct constructions via skew starters and Weil's theorem on character sum estimates are given in this paper for optimal (__gv__, 5, 1) optical orthogonal codes (OOCs) where 60ββ€β__g__ββ€β180 satisfying __g__ββ‘β0 (mod 20) and __v__ is a product of primes greater than 5. These imp
Constructions of optimal variable-weight optical orthogonal codes
β Scribed by Hengming Zhao; Dianhua Wu; Pingzhi Fan
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 165 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
Variableβweight optical orthogonal code (OOC) was introduced by GβC Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirement. In this article, new infinite classes of optimal (u, W, 1, {1/2, 1/2})βOOCs are obtained for W={3, 4}, {3, 5} and {3, 6}. Β© 2010 Wiley Periodicals, Inc. J Combin Designs 18: 274β291, 2010
π SIMILAR VOLUMES
## Abstract By a (__Ξ½__, __k__, 1)βOOC we mean an optical orthogonal code. In this paper, it is proved that an optimal (4__p__, 5, 1)βOOC exists for prime __p__ β‘ 1 (mod 10), and that an optimal (4__up__, 5, 1)βOOC exists for __u__β=β2, 3 and prime __p__ββ‘β11 (mod 20). These results are obtained by
## Abstract Optimal **(__v__, 4,2,1)** optical orthogonal codes (OOCs) with **__v__**β©½**75** and **__v__**β **71** are classified up to isomorphism. One **(__v__, 4,2,1)** OOC is presented for all **__v__**β©½**181**, for which an optimal OOC exists. Copyright Β© 2011 Wiley Periodicals, Inc. J Combin D
The algebraic geometric code is known as a linear code that guarantees a relatively large minimum distance under the condition that the number of check symbols is kept constant, when the code length is long. Recently, Saints and Heegard presented a unified theory for decoding of the algebraic geomet