Hermitian unitals are code words

A. Blokhuis; A.E. Brouwer; H.A. Wilbrink

doi:10.1016/0012-365X(91)90422-X

Hermitian unitals are code words

A. Blokhuis, A.E. Brouwer, H.A. Wilbrink

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

21 Citations (Scopus)

Abstract

We show that a unital PG(2, q2) is Hermitian if and only if it is in the code generated by the lines of PG(2, q2). This implies the truth of a conjecture made by Assmus and Key.

Original language	English
Pages (from-to)	63-68
Number of pages	6
Journal	Discrete Mathematics
Volume	97
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(91)90422-X
Publication status	Published - 1991

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title = "Hermitian unitals are code words",

abstract = "We show that a unital PG(2, q2) is Hermitian if and only if it is in the code generated by the lines of PG(2, q2). This implies the truth of a conjecture made by Assmus and Key.",

author = "A. Blokhuis and A.E. Brouwer and H.A. Wilbrink",

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doi = "10.1016/0012-365X(91)90422-X",

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journal = "Discrete Mathematics",

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AU - Blokhuis, A.

AU - Brouwer, A.E.

AU - Wilbrink, H.A.

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N2 - We show that a unital PG(2, q2) is Hermitian if and only if it is in the code generated by the lines of PG(2, q2). This implies the truth of a conjecture made by Assmus and Key.

AB - We show that a unital PG(2, q2) is Hermitian if and only if it is in the code generated by the lines of PG(2, q2). This implies the truth of a conjecture made by Assmus and Key.

U2 - 10.1016/0012-365X(91)90422-X

DO - 10.1016/0012-365X(91)90422-X

M3 - Article

SN - 0012-365X

VL - 97

SP - 63

EP - 68

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Hermitian unitals are code words

Abstract

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