Information on Result #1770766
Digital (205, 233, 177172)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3233, 177172, F3, 3, 28) (dual of [(177172, 3), 531283, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3233, 531516, F3, 28) (dual of [531516, 531283, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 531517, F3, 28) (dual of [531517, 531284, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(316, 76, F3, 7) (dual of [76, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3233, 531517, F3, 28) (dual of [531517, 531284, 29]-code), using
Mode: 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 (206, 234, 177172)-net over F3 | [i] | Net Duplication | |