Information on Result #619285
Linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(980, 1062882, F9, 14) (dual of [1062882, 1062802, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(8147, 531523, F81, 14) (dual of [531523, 531476, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8148, 531541, F81, 14) (dual of [531541, 531493, 15]-code) | [i] | ||
| 4 | Linear OA(8149, 531557, F81, 14) (dual of [531557, 531508, 15]-code) | [i] | ||
| 5 | Linear OA(8150, 531603, F81, 14) (dual of [531603, 531553, 15]-code) | [i] | ||
| 6 | Linear OA(8152, 531687, F81, 14) (dual of [531687, 531635, 15]-code) | [i] | ||
| 7 | Linear OA(8150, 531605, F81, 14) (dual of [531605, 531555, 15]-code) | [i] | ||
| 8 | Linear OA(8151, 531623, F81, 14) (dual of [531623, 531572, 15]-code) | [i] | ||
| 9 | Linear OA(8151, 531453, F81, 14) (dual of [531453, 531402, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(8152, 531456, F81, 14) (dual of [531456, 531404, 15]-code) | [i] | ||
| 11 | Linear OA(8149, 531451, F81, 14) (dual of [531451, 531402, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(8150, 531453, F81, 14) (dual of [531453, 531403, 15]-code) | [i] | ||
| 13 | Linear OA(8151, 531605, F81, 14) (dual of [531605, 531554, 15]-code) | [i] | ||
| 14 | Linear OA(8152, 531623, F81, 14) (dual of [531623, 531571, 15]-code) | [i] | ||
| 15 | Linear OA(8143, 531444, F81, 15) (dual of [531444, 531401, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(8147, 531448, F81, 16) (dual of [531448, 531401, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(8141, 531448, F81, 14) (dual of [531448, 531407, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(8151, 531452, F81, 17) (dual of [531452, 531401, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(8142, 531452, F81, 14) (dual of [531452, 531410, 15]-code) | [i] | ✔ | |
| 21 | Linear OA(8155, 531456, F81, 18) (dual of [531456, 531401, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(8143, 531456, F81, 14) (dual of [531456, 531413, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(8159, 531460, F81, 19) (dual of [531460, 531401, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(8144, 531460, F81, 14) (dual of [531460, 531416, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(8163, 531464, F81, 20) (dual of [531464, 531401, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(8145, 531464, F81, 14) (dual of [531464, 531419, 15]-code) | [i] | ✔ | |
| 27 | Linear OA(8167, 531468, F81, 21) (dual of [531468, 531401, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(8146, 531468, F81, 14) (dual of [531468, 531422, 15]-code) | [i] | ✔ | |
| 29 | Linear OA(8171, 531472, F81, 22) (dual of [531472, 531401, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(8175, 531476, F81, 23) (dual of [531476, 531401, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(8179, 531480, F81, 24) (dual of [531480, 531401, 25]-code) | [i] | ✔ | |
| 32 | Linear OOA(8140, 75920, F81, 14, 14) (dual of [(75920, 14), 1062840, 15]-NRT-code) | [i] | OA Folding and Stacking | |