The uniqueness of a generalized quadrangle of order (4,16)
Koichi Inoue
TL;DR
This paper proves that there is only one generalized quadrangle of order (4,16) up to isomorphism, establishing its uniqueness among such structures.
Contribution
It provides a proof of the uniqueness of the generalized quadrangle of order (4,16), a previously unresolved classification problem.
Findings
Uniqueness of the generalized quadrangle of order (4,16) established
No other non-isomorphic structures of this order exist
Contributes to the classification of finite generalized quadrangles
Abstract
In this paper, it is proved that there is, up to isomorphism, a unique generalized quadrangle of order (4,16).
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Taxonomy
Topicsgraph theory and CDMA systems · Finite Group Theory Research · Coding theory and cryptography