Information on Result #611807
Linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(3141, 531450, F3, 17) (dual of [531450, 531309, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3143, 531454, F3, 17) (dual of [531454, 531311, 18]-code) | [i] | ||
| 3 | Linear OA(3146, 531454, F3, 19) (dual of [531454, 531308, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3133, 531453, F3, 17) (dual of [531453, 531320, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3161, 531469, F3, 20) (dual of [531469, 531308, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3137, 531469, F3, 17) (dual of [531469, 531332, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3177, 531482, F3, 22) (dual of [531482, 531305, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3178, 531486, F3, 22) (dual of [531486, 531308, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(3175, 531483, F3, 21) (dual of [531483, 531308, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(3139, 531483, F3, 17) (dual of [531483, 531344, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(3193, 531497, F3, 23) (dual of [531497, 531304, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3194, 531502, F3, 23) (dual of [531502, 531308, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(3192, 531500, F3, 23) (dual of [531500, 531308, 24]-code) | [i] | ✔ | |