partial geometries
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Balanced Incomplete Block Designs, Partial Geometries, and Their Associated QC-LDPC Codes

2021 ◽  
Author(s):  
Juane Li ◽  
Yi Gong ◽  
Shu Lin ◽  
Khaled Abdel-Ghaffar
Keyword(s):  
Ldpc Codes ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Designs ◽  
Partial Geometries ◽  
Balanced Incomplete Block

scholarly journals Results on partial geometries with an abelian Singer group of rigid type

2021 ◽  
Vol 344 (2) ◽  
pp. 112171
Author(s):  
Stefaan De Winter ◽  
Ellen Kamischke ◽  
Eric Neubert ◽  
Zeying Wang
Keyword(s):  
Singer Group ◽  
Partial Geometries

scholarly journals On partial geometries arising from maximal arcs

2021 ◽  
Author(s):  
Mustafa Gezek ◽  
Vladimir D. Tonchev
Keyword(s):  
Maximal Arcs ◽  
Partial Geometries

New construction of partial geometries based on group divisible designs and their associated LDPC codes

2020 ◽  
Vol 39 ◽  
pp. 100970
Author(s):  
Hengzhou Xu ◽  
Zhongyang Yu ◽  
Dan Feng ◽  
Hai Zhu
Keyword(s):  
Ldpc Codes ◽  
Group Divisible Designs ◽  
Group Divisible ◽  
Partial Geometries ◽  
New Construction

Construction of Partial Geometries and LDPC codes based on Reed-Solomon Codes

2019 ◽  
Author(s):  
Juane Li ◽  
Keke Liu ◽  
Shu Lin ◽  
Khaled Abdel-Ghaffar
Keyword(s):  
Ldpc Codes ◽  
Reed Solomon Codes ◽  
Partial Geometries

scholarly journals Correction to: Miklós–Manickam–Singhi conjectures on partial geometries

2019 ◽  
Vol 87 (6) ◽  
pp. 1457-1457
Author(s):  
Ferdinand Ihringer ◽  
Karen Meagher
Keyword(s):  
Partial Geometries

scholarly journals COVERS OF GENERALIZED QUADRANGLES

2018 ◽  
Vol 60 (3) ◽  
pp. 585-601 ◽  
Author(s):  
JOSEPH A. THAS ◽  
KOEN THAS
Keyword(s):  
General Theory ◽  
Isomorphism Problem ◽  
Generalized Quadrangle ◽  
Indian Acad ◽  
Generalized Quadrangles ◽  
Partial Geometries ◽  
Even Order

AbstractWe solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order.Proc. Indian Acad. Sci. Math. Sci.126(2016), 591–612) about factorization of 2-covers of finite classical generalized quadrangles (GQs). To that end, we develop a general theory of cover factorization for GQs, and in particular, we study the isomorphism problem for such covers and associated geometries. As a byproduct, we obtain new results about semi-partial geometries coming from θ-covers, and consider related problems.

scholarly journals Miklós–Manickam–Singhi conjectures on partial geometries

2017 ◽  
Vol 86 (6) ◽  
pp. 1311-1327
Author(s):  
Ferdinand Ihringer ◽  
Karen Meagher
Keyword(s):  
Partial Geometries
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