Information on Result #812673
Linear OOA(365, 265734, F3, 2, 8) (dual of [(265734, 2), 531403, 9]-NRT-code), using OOA 2-folding based on linear OA(365, 531468, F3, 8) (dual of [531468, 531403, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(365, 531469, F3, 8) (dual of [531469, 531404, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(361, 531441, F3, 8) (dual of [531441, 531380, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(337, 531441, F3, 5) (dual of [531441, 531404, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(365, 265734, F3, 3, 8) (dual of [(265734, 3), 797137, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(365, 265734, F3, 4, 8) (dual of [(265734, 4), 1062871, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(365, 265734, F3, 5, 8) (dual of [(265734, 5), 1328605, 9]-NRT-code) | [i] | ||
| 4 | Digital (57, 65, 265734)-net over F3 | [i] | ||