Information on Result #674789
Linear OA(3207, 59076, F3, 31) (dual of [59076, 58869, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
- linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3181, 59050, F3, 27) (dual of [59050, 58869, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(36, 26, F3, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3208, 59077, F3, 31) (dual of [59077, 58869, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3207, 29538, F3, 2, 31) (dual of [(29538, 2), 58869, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3207, 19692, F3, 3, 31) (dual of [(19692, 3), 58869, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3207, 14769, F3, 4, 31) (dual of [(14769, 4), 58869, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(3207, 11815, F3, 5, 31) (dual of [(11815, 5), 58868, 32]-NRT-code) | [i] | ||