Information on Result #1214424
Digital (53, 62, 1441215)-net over F7, using (u, u+v)-construction based on
- digital (1, 5, 13)-net over F7, using
- 8 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- digital (48, 57, 1441202)-net over F7, using
- net defined by OOA [i] based on linear OOA(757, 1441202, F7, 9, 9) (dual of [(1441202, 9), 12970761, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(757, 5764809, F7, 9) (dual of [5764809, 5764752, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 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(8) ⊂ Ce(7) [i] based on
- OOA 4-folding and stacking with additional row [i] based on linear OA(757, 5764809, F7, 9) (dual of [5764809, 5764752, 10]-code), using
- net defined by OOA [i] based on linear OOA(757, 1441202, F7, 9, 9) (dual of [(1441202, 9), 12970761, 10]-NRT-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.