Further translation planes of order 192 admitting SL(2,5), obtained by nest replacement

Alan R. Prince

doi:10.1007/s10623-008-9205-7

Further translation planes of order 19² admitting SL(2,5), obtained by nest replacement

Alan R. Prince

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We construct three translation planes of order 19² admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).

Original language	English
Pages (from-to)	263-267
Number of pages	5
Journal	Designs, Codes and Cryptography
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s10623-008-9205-7
Publication status	Published - Sep 2008

Keywords

Nest replacement
SL(2,5)
Translation planes

Access to Document

10.1007/s10623-008-9205-7

Link to publication in Scopus

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Prince, A. R. (2008). Further translation planes of order 19² admitting SL(2,5), obtained by nest replacement. Designs, Codes and Cryptography, 48(3), 263-267. https://doi.org/10.1007/s10623-008-9205-7

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abstract = "We construct three translation planes of order 192 admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).",

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