Information on Result #1190632
Digital (64, 80, 14707)-net over F7, using net defined by OOA based on linear OOA(780, 14707, F7, 16, 16) (dual of [(14707, 16), 235232, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(780, 117656, F7, 16) (dual of [117656, 117576, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(779, 117655, F7, 16) (dual of [117655, 117576, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 6, F7, 0) (dual of [6, 6, 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(15) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(779, 117655, F7, 16) (dual of [117655, 117576, 17]-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 (65, 81, 14707)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (73, 89, 14720)-net over F7 | [i] | (u, u+v)-Construction for Nets | |