Information on Result #611680
Linear OA(385, 531441, F3, 11) (dual of [531441, 531356, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(390, 531447, F3, 11) (dual of [531447, 531357, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(391, 531453, F3, 11) (dual of [531453, 531362, 12]-code) | [i] | ||
| 3 | Linear OA(398, 531454, F3, 13) (dual of [531454, 531356, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(385, 531453, F3, 11) (dual of [531453, 531368, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(3113, 531469, F3, 14) (dual of [531469, 531356, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(389, 531469, F3, 11) (dual of [531469, 531380, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(3129, 531482, F3, 16) (dual of [531482, 531353, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3130, 531486, F3, 16) (dual of [531486, 531356, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(3127, 531483, F3, 15) (dual of [531483, 531356, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(391, 531483, F3, 11) (dual of [531483, 531392, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(398, 531455, F3, 13) (dual of [531455, 531357, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(386, 531455, F3, 11) (dual of [531455, 531369, 12]-code) | [i] | ✔ | |