Information on Result #1190058
Digital (51, 61, 164713)-net over F7, using net defined by OOA based on linear OOA(761, 164713, F7, 10, 10) (dual of [(164713, 10), 1647069, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(761, 823565, F7, 10) (dual of [823565, 823504, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(761, 823568, F7, 10) (dual of [823568, 823507, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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(74, 25, F7, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,7)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(761, 823568, F7, 10) (dual of [823568, 823507, 11]-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.