Information on Result #814467
Linear OOA(3186, 29557, F3, 2, 26) (dual of [(29557, 2), 58928, 27]-NRT-code), using OOA 2-folding based on linear OA(3186, 59114, F3, 26) (dual of [59114, 58928, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3187, 29557, F3, 2, 26) (dual of [(29557, 2), 58927, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3186, 29557, F3, 3, 26) (dual of [(29557, 3), 88485, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3186, 29557, F3, 4, 26) (dual of [(29557, 4), 118042, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3186, 29557, F3, 5, 26) (dual of [(29557, 5), 147599, 27]-NRT-code) | [i] | ||
| 5 | Digital (160, 186, 29557)-net over F3 | [i] | ||