Information on Result #674855
Linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3242, 59060, F3, 37) (dual of [59060, 58818, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3242, 59070, F3, 36) (dual of [59070, 58828, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(3245, 59073, F3, 37) (dual of [59073, 58828, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(3249, 59087, F3, 37) (dual of [59087, 58838, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3247, 59085, F3, 36) (dual of [59085, 58838, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(3246, 59077, F3, 36) (dual of [59077, 58831, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OOA(3241, 19683, F3, 3, 37) (dual of [(19683, 3), 58808, 38]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3241, 14762, F3, 4, 37) (dual of [(14762, 4), 58807, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(3241, 3280, F3, 37, 37) (dual of [(3280, 37), 121119, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |