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Published in:
2006 | OriginalPaper | Chapter
Optimal Difference Systems of Sets with Multipliers
Authors : Vladimir D. Tonchev, Hao Wang
Published in: Computer Science – Theory and Applications
Publisher: Springer Berlin Heidelberg
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Difference Systems of Sets (DSS) are combinatorial structures that are used in code synchronization. A DSS is
optimal
if the associated code has minimum redundancy for the given block length
n
, alphabet size
q
, and error-correcting capacity
ρ
. An algorithm is described for finding optimal DSS that admit prescribed symmetries defined by automorphisms of the cyclic group of order
n
, together with optimal DSS found by this algorithm.