Information on Result #1189702
Digital (34, 40, 274565)-net over F7, using net defined by OOA based on linear OOA(740, 274565, F7, 9, 6) (dual of [(274565, 9), 2471045, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(740, 274566, F7, 3, 6) (dual of [(274566, 3), 823658, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(74, 50, F7, 3, 3) (dual of [(50, 3), 146, 4]-NRT-code), using
- linear OOA(736, 274516, F7, 3, 6) (dual of [(274516, 3), 823512, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(736, 823548, F7, 6) (dual of [823548, 823512, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(736, 823550, F7, 6) (dual of [823550, 823514, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(729, 823543, F7, 5) (dual of [823543, 823514, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(736, 823550, F7, 6) (dual of [823550, 823514, 7]-code), using
- OOA 3-folding [i] based on linear OA(736, 823548, F7, 6) (dual of [823548, 823512, 7]-code), using
- (u, u+v)-construction [i] based on
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.