The projective special unitary group \(\mathrm{PSU}_2(16)\) and their codes

DOI10.1016/J.ENDM.2013.11.032zbMath1338.94106OpenAlexW152047157MaRDI QIDQ277487

Reza Kahkeshani, Ahmad Majlesi, Ali Zaghiyan, Hossein Shabani

Publication date: 29 April 2016

Full work available at URL: https://doi.org/10.1016/j.endm.2013.11.032

zbMATH Keywords

designautomorphism groupcodeprojective special unitary group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Combinatorial codes (94B25) Primitive groups (20B15)

Cites Work

• Some designs and codes invariant under the groups \(S_9\) and \(A_8\)
• A self-orthogonal doubly even code invariant under \(M^c L:2\)
• Designs from the group \(\text{PSL}_2(q)\), \(q\) even
• Designs from the groups PSL₂(q) for certain q
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