Existence of simple BIBDs from a prime power difference family with minimum index

DOI10.1142/S0219498819501664zbMath1418.05030OpenAlexW2888900342MaRDI QIDQ5231712

Hsin-Min Sun

Publication date: 27 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501664

zbMATH Keywords

finite fieldbalanced incomplete block design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite fields (field-theoretic aspects) (12E20)

Uses Software

• GAP
• La Jolla Difference Set

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• More results on the existence of simple BIBDs with number of elements a prime power
• From planar nearrings to generating blocks
• Combinatorial designs and the theorem of Weil on multiplicative character sums
• The existence of symmetric block designs with parameters \((41,16,6)\) and \((66,26,10)\)
• Codes and designs
• On the existence of 2-designs Slambda(2,3,v) without repeated blocks
• Existence of \((q,6,1)\) difference families with \(q\) a prime power
• Balanced incomplete block designs with block size 9. II.
• Constructions of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\)
• Cyclotomy and difference families in elementary Abelian groups
• Correction to: “On the Existence of Simple BIBDs with Number of Elements a Prime Power”
• Enumeration of Symmetric Designs (25,9,3)
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Existence of (q, 7, 1) difference families with q a prime power
• On the Existence of Simple BIBDs with Number of Elements a Prime Power
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS

This page was built for publication: Existence of simple BIBDs from a prime power difference family with minimum index