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Publication Date
Thu Apr 27 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Volume
26
Issue Number
2
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jih-478
Complete Arcs in Projective Plane PG (2,11) Over Galois field
Algebraic geometry
complete arcs
Galois field.
Mahmood S.
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    In this work, we construct complete (K, n)-arcs in the projective plane over Galois field GF (11), where 12 2 ≤ ≤ n  ,by using geometrical method (using the union of some maximum(k,2)- Arcs , we found (12,2)-arc, (19,3)-arc , (29,4)-arc, (38,5)-arc , (47,6)-arc, (58,7)-arc, (68,6)-arc, (81,9)-arc, (96,10)-arc, (109,11)-arc, (133,12)-arc, all of them are complete arc in PG(2, 11) over GF(11).  

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Sat Jan 01 2022
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Technologies And Materials For Renewable Energy, Environment And Sustainability: Tmrees21gr
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Tue Jan 30 2024
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The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space
Hamiltonian skew field of quaternions
Quaternion N-vectors
Quaternion-valued functions
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Hussien A. H.
Mohammed Kh.
Khaldoun S.
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     In this paper, we introduce new definitions of the - spaces  namely the    - spaces  Here,  and  are natural numbers that are not necessarily equal, such that . The space  refers to the n-dimensional Euclidean space,  refers to the quaternions set and  refers to the N-dimensional quaternionic space. Furthermore, we establish and prove some properties of their elements. These elements are quaternion-valued N-vector functions defined on , and the  spaces  have never been introduced in this way before.

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