Information on Result #1190278
Digital (49, 61, 19609)-net over F7, using net defined by OOA based on linear OOA(761, 19609, F7, 12, 12) (dual of [(19609, 12), 235247, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(761, 117654, F7, 12) (dual of [117654, 117593, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(761, 117655, F7, 12) (dual of [117655, 117594, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(761, 117655, F7, 12) (dual of [117655, 117594, 13]-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 (55, 67, 19617)-net over F7 | [i] | (u, u+v)-Construction for Nets | |