Information on Result #619538
Linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, 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(12848, 32769, F128, 17) (dual of [32769, 32721, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12864, 2113537, F128, 17) (dual of [2113537, 2113473, 18]-code) | [i] | ||
| 3 | Linear OA(12819, 16513, F128, 8) (dual of [16513, 16494, 9]-code) | [i] | ||
| 4 | Linear OA(12820, 16534, F128, 8) (dual of [16534, 16514, 9]-code) | [i] | ||
| 5 | Linear OA(12821, 32640, F128, 8) (dual of [32640, 32619, 9]-code) | [i] | ||
| 6 | Linear OA(12821, 16642, F128, 8) (dual of [16642, 16621, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(12817, 16386, F128, 9) (dual of [16386, 16369, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(12815, 16386, F128, 8) (dual of [16386, 16371, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(12820, 16389, F128, 10) (dual of [16389, 16369, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(12816, 16389, F128, 8) (dual of [16389, 16373, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(12823, 16392, F128, 11) (dual of [16392, 16369, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(12817, 16392, F128, 8) (dual of [16392, 16375, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(12826, 16395, F128, 12) (dual of [16395, 16369, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(12818, 16395, F128, 8) (dual of [16395, 16377, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(12829, 16398, F128, 13) (dual of [16398, 16369, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(12832, 16401, F128, 14) (dual of [16401, 16369, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(12835, 16404, F128, 15) (dual of [16404, 16369, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(12838, 16407, F128, 16) (dual of [16407, 16369, 17]-code) | [i] | ✔ | |
| 19 | Linear OOA(12815, 4096, F128, 4, 8) (dual of [(4096, 4), 16369, 9]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(12815, 4096, F128, 8, 8) (dual of [(4096, 8), 32753, 9]-NRT-code) | [i] | OA Folding and Stacking | |