Information on Result #674532
Linear OA(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, 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(3109, 531453, F3, 14) (dual of [531453, 531344, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(398, 531454, F3, 13) (dual of [531454, 531356, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(3125, 531469, F3, 16) (dual of [531469, 531344, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(398, 531466, F3, 12) (dual of [531466, 531368, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(3101, 531469, F3, 13) (dual of [531469, 531368, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(3139, 531483, F3, 17) (dual of [531483, 531344, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3103, 531483, F3, 12) (dual of [531483, 531380, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(398, 531455, F3, 13) (dual of [531455, 531357, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(398, 531467, F3, 12) (dual of [531467, 531369, 13]-code) | [i] | ✔ | |
| 10 | Linear OOA(397, 177147, F3, 3, 13) (dual of [(177147, 3), 531344, 14]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(397, 132860, F3, 4, 13) (dual of [(132860, 4), 531343, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(397, 106288, F3, 5, 13) (dual of [(106288, 5), 531343, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(397, 88573, F3, 13, 13) (dual of [(88573, 13), 1151352, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |