Information on Result #953888
Linear OOA(3233, 177172, F3, 3, 28) (dual of [(177172, 3), 531283, 29]-NRT-code), using OOA 3-folding 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3234, 177172, F3, 3, 28) (dual of [(177172, 3), 531282, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3233, 177172, F3, 4, 28) (dual of [(177172, 4), 708455, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3233, 177172, F3, 5, 28) (dual of [(177172, 5), 885627, 29]-NRT-code) | [i] | ||
| 4 | Digital (205, 233, 177172)-net over F3 | [i] | ||