Information on Result #814889
Linear OOA(3206, 29557, F3, 2, 29) (dual of [(29557, 2), 58908, 30]-NRT-code), using OOA 2-folding based on linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(315, 65, F3, 6) (dual of [65, 50, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3208, 29558, F3, 2, 29) (dual of [(29558, 2), 58908, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3207, 29557, F3, 2, 29) (dual of [(29557, 2), 58907, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3206, 29205, F3, 3, 29) (dual of [(29205, 3), 87409, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3206, 29205, F3, 4, 29) (dual of [(29205, 4), 116614, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3206, 29205, F3, 5, 29) (dual of [(29205, 5), 145819, 30]-NRT-code) | [i] | ||
| 6 | Digital (177, 206, 29205)-net over F3 | [i] | ||