Information on Result #2487406
Linear OOA(3239, 88615, F3, 2, 30) (dual of [(88615, 2), 176991, 31]-NRT-code), using 31 times duplication based on linear OOA(3238, 88615, F3, 2, 30) (dual of [(88615, 2), 176992, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3238, 177230, F3, 30) (dual of [177230, 176992, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3237, 177229, F3, 30) (dual of [177229, 176992, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(21) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3237, 177229, F3, 30) (dual of [177229, 176992, 31]-code), using
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(3239, 84199, F3, 3, 30) (dual of [(84199, 3), 252358, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3239, 84199, F3, 4, 30) (dual of [(84199, 4), 336557, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3239, 84199, F3, 5, 30) (dual of [(84199, 5), 420756, 31]-NRT-code) | [i] | ||
| 4 | Digital (209, 239, 84199)-net over F3 | [i] | ||