Caps and Identity: Origin and Interpretation of Phrygian Caps in Coptic Art

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The connection between maximal caps (sometimes called complete caps) and certain binary codes called quasi-perfect codes is described. We provide a geometric approach to the foundational work of Davydov and Tombak who have obtained the exact possible sizes of large maximal caps. A new self-contained proof of the existence and the structure of the largest maximal nonaffine cap in PG(n, 2) is giv...

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This paper is concerned with constructing caps embedded in line Grassman-nians. In particular, we construct a cap of size q 3 + 2q 2 + 1 embedded in the Klein quadric of P G(5; q) for even q, and show that any cap maximally embedded in the Klein quadric which is larger than this one must have size equal to the theoretical upper bound, namely q 3 + 2q 2 + q + 2. It is not known if caps achieving...

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ژورنال

عنوان ژورنال: International journal of Tourism and Hospitality Management (Print)

سال: 2022

ISSN: ['2535-2318', '2682-3632']

DOI: https://doi.org/10.21608/ijthm.2022.270170