Information on Result #815021
Linear OOA(3217, 29562, F3, 2, 30) (dual of [(29562, 2), 58907, 31]-NRT-code), using OOA 2-folding based on linear OA(3217, 59124, F3, 30) (dual of [59124, 58907, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 59125, F3, 30) (dual of [59125, 58908, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(21) [i] based on
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(30) ⊂ Ce(21) [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(3217, 29562, F3, 3, 30) (dual of [(29562, 3), 88469, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3217, 29562, F3, 4, 30) (dual of [(29562, 4), 118031, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3217, 29562, F3, 5, 30) (dual of [(29562, 5), 147593, 31]-NRT-code) | [i] | ||
| 4 | Digital (187, 217, 29562)-net over F3 | [i] | ||