Cameron-Liebler line classes with parameter x=[Formula presented]
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Cameron-Liebler line classes were introduced in [5], and motivated by a question about orbits of collineation groups of PG(3,q). These line classes have appeared in different contexts under disguised names such as Boolean degree one functions, regular codes of covering radius one, and tight sets. In this paper we construct an infinite family of Cameron-Liebler line classes in PG(3,q) with new parameter x=(q+1)2/3 for all prime powers q congruent to 2 modulo 3. The examples obtained when q is an odd power of two represent the first infinite family of Cameron-Liebler line classes in PG(3,q), q even.
Açıklama
Anahtar Kelimeler
Cameron-Liebler Line Class, Gauss Sum, Klein Quadric, Spread, Tight Set
Kaynak
Advances in Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
385
Sayı
Künye
Feng, T., Momihara, K., Rodgers, M., Xiang, Q., & Zou, H. (2021). Cameron-Liebler line classes with parameter x=(q+ 1) 23. Advances in Mathematics, 385, 107780.
