Information on Result #612076
Linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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 OA(3243, 531456, F3, 29) (dual of [531456, 531213, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3247, 531461, F3, 29) (dual of [531461, 531214, 30]-code) | [i] | ||
| 3 | Linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3229, 531453, F3, 29) (dual of [531453, 531224, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3233, 531469, F3, 29) (dual of [531469, 531236, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(3235, 531483, F3, 29) (dual of [531483, 531248, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(3241, 531497, F3, 29) (dual of [531497, 531256, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(3242, 531502, F3, 29) (dual of [531502, 531260, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3245, 531517, F3, 29) (dual of [531517, 531272, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(3240, 531500, F3, 29) (dual of [531500, 531260, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-code) | [i] | ✔ | |
| 12 | Linear OOA(3229, 37960, F3, 29, 29) (dual of [(37960, 29), 1100611, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |