Information on Result #1190592
Digital (86, 101, 823546)-net over F7, using net defined by OOA based on linear OOA(7101, 823546, F7, 15, 15) (dual of [(823546, 15), 12353089, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(7101, 5764823, F7, 15) (dual of [5764823, 5764722, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(7101, 5764829, F7, 15) (dual of [5764829, 5764728, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(7101, 5764829, F7, 15) (dual of [5764829, 5764728, 16]-code), using
Mode: Constructive and 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.