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References (25)
-
D. Ray-Chaudhuri, R. Wilson (1971)
Solution of Kirkman''s schoolgirl problem -
(1997)
Rosa triple systems -
(1988)
Kirkman triple systems with maximum subsystems -
(1999)
Triple Systems -
T. Beth, D. Jungnickel, H. Lenz (1999)
Design Theory: Bibliography -
(1988)
Kirkman triple systems with maximum subsystems, Ars Combinat -
(1987)
Frames for Kirkman triple systems, Discrete Math -
S. Furino, R. Mullin (1993)
Block designs with large holes and α -resolvable BIBDsJournal of Combinatorial Designs, 1
-
R. Rees, Douglas Stinson (1987)
On resolvable group-divisible designs with block size 3Ars Combinatoria
-
A. Ling, C. Colbourn (1997)
Geometry, Combinatorial Designs and Related Structures: Rosa triple systems -
C. Colbourn, A. Ling (1999)
Kirkman school project designsDiscret. Math., 203
-
(1989)
Maximal partial triple systems with hexagonal leave -
S. Vanstone, Douglas Stinson, P. Schellenberg, A. Rosa, R. Rees, C. Colbourn, M. Carter, J. Carter (1993)
Hanani triple systemsIsrael Journal of Mathematics, 83
-
Combinatorial constructions for an MT-MFSK multiplexing technique for radio communications with bursty traac, preprint -
Kirkman school project designs, preprint -
D. K. Ray-Chaudhuri, R. M. Wilson (1971)
Proc. Symp. Pure Math. -
A. Assaf, Alan Hartman (1989)
Resolvable group divisible designs with block size 3Discret. Math., 77
-
Douglas Stinson (1987)
Frames for Kirkman triple systemsDiscret. Math., 65
-
(1996)
Mutually Orthogonal Latin Squares (MOLS), in: CRC Handbook of Combinatorial Designs -
R. C. Mullin, H. O. F. Gronau (1996)
CRC Handbook of Combinatorial Designs -
(1996)
PBDs, Frames, and Resolvability in: CRC Handbook of Combinatorial Designs -
(1996)
PBDs -
(1997)
Rosa triple systems, in: Geometry, Combinatorial Designs and Related Structures -
H. Hanani (1975)
Balanced incomplete block designs and related designsDiscret. Math., 11
-
(1996)
Frames and Resolvable Designs
- Publisher
- Springer Journals
- Copyright
- Copyright © 2000 by Kluwer Academic Publishers
- Subject
- Mathematics; Combinatorics; Coding and Information Theory; Data Structures, Cryptology and Information Theory; Data Encryption; Discrete Mathematics in Computer Science; Information and Communication, Circuits
- ISSN
- 0925-1022
- eISSN
- 1573-7586
- DOI
- 10.1023/A:1008393607487
- Publisher site
- See Article on Publisher Site
Abstract
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 $$\user1{v}$$ 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 $$\user1{v}$$ .
Journal
Designs, Codes and Cryptography – Springer Journals
Published: Oct 15, 2004