Special Arcs in PG(3,13)

Saja Makki Attook, E. B. Al-Zangana
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Abstract

In this paper, we constructed new arcs in the three-dimensional projective space over GF(13) of degrees 2, 3, 4, 5, 6, 7, 10, 11, 14, 15, 18, 19, 23, 28, 30, 47, 55, 98 and sizes 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190. These arcs are classified to complete and incomplete arcs. Also, the incomplete arcs are extended to complete arcs.
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PG(3,13)中的特殊弧线
本文在GF(13)上的三维射影空间中构造了新的圆弧,圆弧的角度为2、3、4、5、6、7、10、11、14、15、18、19、23、28、30、47、55、98,尺寸为2、4、5、7、10、14、17、20、28、34、35、68、70、85、119、140、170、238、340、476、595、1190。这些弧线分为完全弧线和不完全弧线。同时,将不完全弧扩展为完全弧。
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