Information on Result #617422
Linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(2733, 531469, F27, 8) (dual of [531469, 531436, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2734, 531479, F27, 8) (dual of [531479, 531445, 9]-code) | [i] | ||
| 3 | Linear OA(2735, 532143, F27, 8) (dual of [532143, 532108, 9]-code) | [i] | ||
| 4 | Linear OA(2734, 531447, F27, 8) (dual of [531447, 531413, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(2735, 531497, F27, 8) (dual of [531497, 531462, 9]-code) | [i] | ||
| 6 | Linear OA(2733, 531445, F27, 9) (dual of [531445, 531412, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(2729, 531445, F27, 8) (dual of [531445, 531416, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(2738, 531450, F27, 10) (dual of [531450, 531412, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(2730, 531450, F27, 8) (dual of [531450, 531420, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(2743, 531455, F27, 11) (dual of [531455, 531412, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(2731, 531455, F27, 8) (dual of [531455, 531424, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(2748, 531460, F27, 12) (dual of [531460, 531412, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2732, 531460, F27, 8) (dual of [531460, 531428, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(2753, 531465, F27, 13) (dual of [531465, 531412, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(2758, 531469, F27, 14) (dual of [531469, 531411, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2759, 531471, F27, 14) (dual of [531471, 531412, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(2764, 531476, F27, 15) (dual of [531476, 531412, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(2769, 531479, F27, 16) (dual of [531479, 531410, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(2770, 531482, F27, 16) (dual of [531482, 531412, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(2730, 531451, F27, 8) (dual of [531451, 531421, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |