Design theory
Frames for Kirkman triple systems
Discrete Mathematics
Multiple access communications using combinatorial designs
Theoretical aspects of computer science
LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
Multiple Access Communications Using Combinatorial Designs
Theoretical Aspects of Computer Science, Advanced Lectures [First Summer School on Theoretical Aspects of Computer Science, Tehran, Iran, July 2000]
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A unipolar signalingsystem transmits using intensity or amplitude in multiple dimensions.Typical examples arise in optical transmission or radio communicationusing MT-MFSK as both the signaling and the modulation technique.There are v dimensions which represent pulses ortones. Each codeword consists of a selection of kof these tones with unit intensity. Each user is assigned mof these binary codewords. In a synchronous multi-user environment,two codewords assigned to a single user have distance 2k,while two codewords assigned to different users have distanceat least 2k-2. Such an assignment of codewords tousers is called a Kirkman signal set when the number of usersaccommodated is the maximum. In this paper, the existence ofKirkman signal sets with k=3 and mas large as possible is settled for all values of v.