Information on Result #1190678
Digital (54, 71, 2101)-net over F7, using net defined by OOA based on linear OOA(771, 2101, F7, 17, 17) (dual of [(2101, 17), 35646, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(771, 16809, F7, 17) (dual of [16809, 16738, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(771, 16812, F7, 17) (dual of [16812, 16741, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(771, 16812, F7, 17) (dual of [16812, 16741, 18]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (62, 79, 2109)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (63, 80, 2114)-net over F7 | [i] | ||
| 3 | Digital (65, 82, 2115)-net over F7 | [i] | ||
| 4 | Digital (66, 83, 2117)-net over F7 | [i] | ||
| 5 | Digital (67, 84, 2122)-net over F7 | [i] | ||