Information on Result #1725562
Digital (71, 86, 137258)-net over F7, using net defined by OOA based on linear OOA(786, 137258, F7, 21, 15) (dual of [(137258, 21), 2882332, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(786, 411775, F7, 3, 15) (dual of [(411775, 3), 1235239, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(786, 411775, F7, 2, 15) (dual of [(411775, 2), 823464, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(786, 823550, F7, 15) (dual of [823550, 823464, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(786, 823551, F7, 15) (dual of [823551, 823465, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(786, 823551, F7, 15) (dual of [823551, 823465, 16]-code), using
- OOA 2-folding [i] based on linear OA(786, 823550, F7, 15) (dual of [823550, 823464, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(786, 411775, F7, 2, 15) (dual of [(411775, 2), 823464, 16]-NRT-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.