Classification of large partial plane spreads in $${{\,\mathrm{PG}\,}}(6,2)$$PG(6,2) and related combinatorial objects

Classification of large partial plane spreads in $${{\,\mathrm{PG}\,}}(6,2)$$PG(6,2) and related combinatorial objects
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DOI:
10.1007/s00022-018-0459-6
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发表时间:
2016-06
影响因子:
0.6
通讯作者:
T. Honold;Michael Kiermaier;Sascha Kurz
T. Honold;Michael Kiermaier;Sascha Kurz
中科院分区:
--
文献类型:
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作者:
T. Honold;Michael Kiermaier;Sascha Kurz

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The partial plane spreads inof maximum possible size 17 and of size 16 are classified. Based on this result, we obtain the classification of the following closely related combinatorial objects: vector space partitions ofof type, binaryMRD codes of minimum rank distance 3, and subspace codes with the optimal parametersand.