Information on Result #1190840
Digital (78, 98, 1685)-net over F7, using net defined by OOA based on linear OOA(798, 1685, F7, 20, 20) (dual of [(1685, 20), 33602, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(798, 16850, F7, 20) (dual of [16850, 16752, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(798, 16854, F7, 20) (dual of [16854, 16756, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(11) [i] based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(712, 47, F7, 7) (dual of [47, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- construction X applied to Ce(19) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(798, 16854, F7, 20) (dual of [16854, 16756, 21]-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.