Information on Result #674874
Linear OA(381, 59049, F3, 13) (dual of [59049, 58968, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(391, 59059, F3, 14) (dual of [59059, 58968, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(382, 59060, F3, 13) (dual of [59060, 58978, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(3105, 59073, F3, 16) (dual of [59073, 58968, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(382, 59070, F3, 12) (dual of [59070, 58988, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(385, 59073, F3, 13) (dual of [59073, 58988, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(3117, 59085, F3, 17) (dual of [59085, 58968, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(387, 59085, F3, 12) (dual of [59085, 58998, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(3106, 59077, F3, 15) (dual of [59077, 58971, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(386, 59077, F3, 12) (dual of [59077, 58991, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(382, 59071, F3, 12) (dual of [59071, 58989, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OOA(381, 19683, F3, 3, 13) (dual of [(19683, 3), 58968, 14]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(381, 14762, F3, 4, 13) (dual of [(14762, 4), 58967, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(381, 9841, F3, 13, 13) (dual of [(9841, 13), 127852, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |