Journal Article10.1109/18.119715
Disjoint difference sets, difference triangle sets, and related codes
Zhi Chen,Pingzhi Fan,Fan Jin +2 more
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TL;DR: With this construction and the relationship between DDS and DTS, many new upper bounds for DTS and some better orthogonal codes are obtained.
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Abstract: Disjoint difference sets (DDS), difference triangle sets (DTS), and related codes are discussed and a recursive construction for DDS is given With this construction and the relationship between DDS and DTS, many new upper bounds for DTS and some better orthogonal codes are obtained >
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Citations
Two-dimensional spatial signature patterns
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TL;DR: The relationships between two-dimensional binary discrete auto- and cross-correlation arrays and their corresponding "sets" for OOSPCs are developed and some of them achieve the upper bounds with equality and are thus optimal and hence can be used in applications requiring, for example, frequency-hopping patterns.
87
Design of multilength optical orthogonal codes for optical CDMA multimedia networks
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TL;DR: It is shown that the performance of these multilength, constant-weight optical orthogonal codes worsens as the code length increases, allowing prioritization in optical CDMA.
79
A new recursive construction for optical orthogonal codes
Wensong Chu,Solomon W. Golomb +1 more
TL;DR: A new recursive construction for optical orthogonal codes is presented, which enlarges the original family with /spl lambda/ unchanged, and produces a new family of asymptotically optimal codes, if the originalfamily is asymptonically optimal.
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Low-density parity check codes for partial response channels
TL;DR: A brief tutorial of the application of low-density parity check (LDPC) codes for partial response channels under the framework of turbo equalization and the use of structured LDPC codes in PR systems is provided.
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Multiple-length multiple-wavelength optical orthogonal codes for optical CDMA systems supporting multirate multimedia services
Wing C. Kwong,Guu-Chang Yang +1 more
TL;DR: A new class of multiple-length constant-weight MWOOCs with autocorrelation sidelobes of zero and cross correlations of at most one is constructed algebraically and shown to improve as the code length decreases.
47
References
•Proceedings Article
Optical orthogonal codes: design, analysis, and applications
Fan Chung,Jawad A. Salehi,V. K. Wei +2 more
- 01 Jan 1989
TL;DR: In this article, the authors derived upper and lower bounds on the maximum possible size of an optical orthogonal code (OOC) using tools from projective geometry, the greedy algorithm, iterative constructions, algebraic coding theory, block design, and various other combinational disciplines.
1K
A theorem in finite projective geometry and some applications to number theory
TL;DR: In this article, it was shown that there is always at least one collineation of period q with respect to any point in the projective plane PG(2, pn) for every prime p and positive integer n.
An Affine Analogue of Singer's Theorem
TL;DR: Singer as discussed by the authors proved the following theorem of the theory of numbers: given an integer m‥2 of the form p n (p being a prime) we can find m+I integers d 0, d 1, d 2, d 3, d 4, d 5, d 6, d 7, d 8, d 9, d 10, d m.
192
Self-orthogonal quasi-cyclic codes
R. Townsend,E. Weldon +1 more
TL;DR: A new class of linear block codes, called self-orthogonal quasi-cyclic codes, is defined, and it is shown that the problem of designing these codes is equivalent to the problems of designing disjoint difference sets.
187
New Convolutional Codes--Part III
TL;DR: The last part of a three-part series on threshold decoding new convolutional codes concludes the list with new rate 1/2 codes and suggests the concatenation of such codes based upon the uncorrectable error statistics of the decoder.
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