Existence of directed bibds with block size 7 and related perfect 5-deletion-correcting codes of length 7

DOI10.1007/s10623-010-9376-xzbMath1227.05073OpenAlexW2083142817MaRDI QIDQ1960227

R. Julian R. Abel, Frank E. Bennett

Publication date: 13 October 2010

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9376-x

zbMATH Keywords

BIBDDirected BIBD (DBIBD)Directed GDD (DGDD)

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other types of codes (94B60)

Related Items (2)

Super-simple, pan-orientable and pan-decomposable GDDs with block size 4 ⋮ Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures

Cites Work

• An elliptic semiplane
• All directed BIBDs with k=3 exist
• Balanced incomplete block designs and related designs
• Balanced incomplete block designs with block size 7
• Existence of directed GDDs with block size five and index \(\lambda \geq 2\)
• On the construction of perfect deletion-correcting codes using design theory
• Constructions for Perfect 5-Deletion-Correcting Codes of Length$7$
• Existence of directed GDDs with block size five
• Some new BIBDs with block size 7
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