Information on Result #619574
Linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(12874, 16767, F128, 27) (dual of [16767, 16693, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12872, 16766, F128, 26) (dual of [16766, 16694, 27]-code) | [i] | ||
| 3 | Linear OA(12823, 384, F128, 14) (dual of [384, 361, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(12821, 383, F128, 13) (dual of [383, 362, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(12826, 387, F128, 15) (dual of [387, 361, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(12822, 386, F128, 13) (dual of [386, 364, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(12828, 389, F128, 16) (dual of [389, 361, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(12823, 389, F128, 13) (dual of [389, 366, 14]-code) | [i] | ✔ | |
| 9 | Linear OOA(12821, 191, F128, 2, 13) (dual of [(191, 2), 361, 14]-NRT-code) | [i] | OOA Folding | |