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17 New Existences linear [n,3,d]19 Codes by Geometric Structure Method in PG(2,19) | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 5, Volume 13, Issue 1, 2019, Pages 61-86 PDF (483.02 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2020.163503 | ||
| Authors | ||
| Nada Yassen Kasm Yahya1; Mustafa Nadhim Salim2 | ||
| 1Department of Mathematics College of Education for pure Sciences University of Mosul, Mosul, Iraq | ||
| 2Department of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| The purpose of this paper is to prove the existence of 17 new linear [337,3,318]19, [289,3,271]19, [266,3,249]19, [246,3,230]19, [219,3,204]19, [206,3,192]19, [181,3,168]19, [157,3,145]19, [141,3,130]19, [120,3,110]19, [112,3,103]19, [82,3,74]19, [72,3,65]19, [54,3,48]19, [37,3,32]19, [26,3,22]19, [13,3,10]19 codes by geometric structure method in PG(2,19) . | ||
| Keywords | ||
| linear code; [n; k; d]q codes; Finite geometry; (k; r)-arc | ||
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