Information on Result #1802077
Digital (67, 85, 950766)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1685, 950766, F16, 18) (dual of [950766, 950681, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1685, 1048595, F16, 18) (dual of [1048595, 1048510, 19]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1684, 1048594, F16, 18) (dual of [1048594, 1048510, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(1681, 1048576, F16, 18) (dual of [1048576, 1048495, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(1684, 1048594, F16, 18) (dual of [1048594, 1048510, 19]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.