Information on Result #812785
Linear OOA(372, 88587, F3, 2, 10) (dual of [(88587, 2), 177102, 11]-NRT-code), using OOA 2-folding based on linear OA(372, 177174, F3, 10) (dual of [177174, 177102, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(371, 177173, F3, 10) (dual of [177173, 177102, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(345, 177147, F3, 7) (dual of [177147, 177102, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 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(9) ⊂ Ce(6) [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(372, 88587, F3, 3, 10) (dual of [(88587, 3), 265689, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(372, 88587, F3, 4, 10) (dual of [(88587, 4), 354276, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(372, 88587, F3, 5, 10) (dual of [(88587, 5), 442863, 11]-NRT-code) | [i] | ||
| 4 | Digital (62, 72, 88587)-net over F3 | [i] | ||