Information on Result #953994
Linear OOA(3197, 19695, F3, 3, 29) (dual of [(19695, 3), 58888, 30]-NRT-code), using OOA 3-folding based on linear OA(3197, 59085, F3, 29) (dual of [59085, 58888, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [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(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-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 OOA(3200, 19696, F3, 3, 29) (dual of [(19696, 3), 58888, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3198, 19695, F3, 3, 29) (dual of [(19695, 3), 58887, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3199, 19695, F3, 3, 29) (dual of [(19695, 3), 58886, 30]-NRT-code) | [i] | ||