Information on Result #815415
Linear OOA(3236, 29557, F3, 2, 33) (dual of [(29557, 2), 58878, 34]-NRT-code), using OOA 2-folding based on linear OA(3236, 59114, F3, 33) (dual of [59114, 58878, 34]-code), using
- 1 times truncation [i] based on linear OA(3237, 59115, F3, 34) (dual of [59115, 58878, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(316, 66, F3, 7) (dual of [66, 50, 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(33) ⊂ Ce(25) [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(3236, 29557, F3, 3, 33) (dual of [(29557, 3), 88435, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3236, 29557, F3, 4, 33) (dual of [(29557, 4), 117992, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3236, 29557, F3, 5, 33) (dual of [(29557, 5), 147549, 34]-NRT-code) | [i] | ||
| 4 | Digital (203, 236, 29557)-net over F3 | [i] | ||