Information on Result #674518
Linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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, 531454, F3, 31) (dual of [531454, 531212, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3242, 531466, F3, 30) (dual of [531466, 531224, 31]-code) | [i] | ✔ | |
| 3 | Linear OA(3245, 531469, F3, 31) (dual of [531469, 531224, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(3249, 531482, F3, 31) (dual of [531482, 531233, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(3250, 531486, F3, 31) (dual of [531486, 531236, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3247, 531483, F3, 30) (dual of [531483, 531236, 31]-code) | [i] | ✔ | |
| 7 | Linear OOA(3241, 177147, F3, 3, 31) (dual of [(177147, 3), 531200, 32]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3241, 132860, F3, 4, 31) (dual of [(132860, 4), 531199, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(3241, 106288, F3, 5, 31) (dual of [(106288, 5), 531199, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(3241, 35429, F3, 31, 31) (dual of [(35429, 31), 1098058, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |