Information on Result #703782
Linear OA(3117, 387, F3, 31) (dual of [387, 270, 32]-code), using construction X applied to C([167,197]) ⊂ C([173,197]) based on
- linear OA(3109, 364, F3, 31) (dual of [364, 255, 32]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,197}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(394, 364, F3, 25) (dual of [364, 270, 26]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {173,174,…,197}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-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 OA(3116, 386, F3, 30) (dual of [386, 270, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(3117, 193, F3, 2, 31) (dual of [(193, 2), 269, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3117, 129, F3, 3, 31) (dual of [(129, 3), 270, 32]-NRT-code) | [i] | ||