Information on Result #612010
Linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(3218, 531455, F3, 26) (dual of [531455, 531237, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3218, 531454, F3, 28) (dual of [531454, 531236, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3205, 531453, F3, 26) (dual of [531453, 531248, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(3233, 531469, F3, 29) (dual of [531469, 531236, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3209, 531469, F3, 26) (dual of [531469, 531260, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3249, 531482, F3, 31) (dual of [531482, 531233, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3250, 531486, F3, 31) (dual of [531486, 531236, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(3247, 531483, F3, 30) (dual of [531483, 531236, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3217, 531497, F3, 26) (dual of [531497, 531280, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3218, 531502, F3, 26) (dual of [531502, 531284, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(3221, 531517, F3, 26) (dual of [531517, 531296, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(3216, 531500, F3, 26) (dual of [531500, 531284, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(3220, 531516, F3, 26) (dual of [531516, 531296, 27]-code) | [i] | ✔ | |