17 New Existences linear [n,3,d]19 Codes by Geometric Structure Method in PG(2,19)

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