Information on Result #619568
Linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(12872, 32769, F128, 25) (dual of [32769, 32697, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12829, 16513, F128, 12) (dual of [16513, 16484, 13]-code) | [i] | ||
| 3 | Linear OA(12830, 16534, F128, 12) (dual of [16534, 16504, 13]-code) | [i] | ||
| 4 | Linear OA(12831, 16536, F128, 12) (dual of [16536, 16505, 13]-code) | [i] | ||
| 5 | Linear OA(12832, 16640, F128, 12) (dual of [16640, 16608, 13]-code) | [i] | ||
| 6 | Linear OA(12833, 16766, F128, 12) (dual of [16766, 16733, 13]-code) | [i] | ||
| 7 | Linear OA(12832, 16642, F128, 12) (dual of [16642, 16610, 13]-code) | [i] | ||
| 8 | Linear OA(12832, 16394, F128, 12) (dual of [16394, 16362, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(12833, 16642, F128, 12) (dual of [16642, 16609, 13]-code) | [i] | ||
| 10 | Linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(12823, 16386, F128, 12) (dual of [16386, 16363, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(12824, 16389, F128, 12) (dual of [16389, 16365, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(12831, 16392, F128, 15) (dual of [16392, 16361, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(12825, 16392, F128, 12) (dual of [16392, 16367, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(12834, 16395, F128, 16) (dual of [16395, 16361, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(12826, 16395, F128, 12) (dual of [16395, 16369, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(12837, 16398, F128, 17) (dual of [16398, 16361, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(12827, 16398, F128, 12) (dual of [16398, 16371, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(12840, 16401, F128, 18) (dual of [16401, 16361, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(12828, 16401, F128, 12) (dual of [16401, 16373, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(12843, 16404, F128, 19) (dual of [16404, 16361, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(12846, 16407, F128, 20) (dual of [16407, 16361, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(12849, 16410, F128, 21) (dual of [16410, 16361, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(12852, 16413, F128, 22) (dual of [16413, 16361, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(12855, 16416, F128, 23) (dual of [16416, 16361, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(12858, 16419, F128, 24) (dual of [16419, 16361, 25]-code) | [i] | ✔ | |
| 28 | Linear OOA(12823, 4096, F128, 4, 12) (dual of [(4096, 4), 16361, 13]-NRT-code) | [i] | OOA Folding | |