Information on Result #619623
Linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
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(12864, 2097282, F128, 19) (dual of [2097282, 2097218, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12865, 2097303, F128, 19) (dual of [2097303, 2097238, 20]-code) | [i] | ||
| 3 | Linear OA(12866, 2097305, F128, 19) (dual of [2097305, 2097239, 20]-code) | [i] | ||
| 4 | Linear OA(12867, 2097345, F128, 19) (dual of [2097345, 2097278, 20]-code) | [i] | ||
| 5 | Linear OA(12868, 2097409, F128, 19) (dual of [2097409, 2097341, 20]-code) | [i] | ||
| 6 | Linear OA(12870, 2097535, F128, 19) (dual of [2097535, 2097465, 20]-code) | [i] | ||
| 7 | Linear OA(12871, 2097540, F128, 19) (dual of [2097540, 2097469, 20]-code) | [i] | ||
| 8 | Linear OA(12872, 2113538, F128, 19) (dual of [2113538, 2113466, 20]-code) | [i] | ||
| 9 | Linear OA(12868, 2097411, F128, 19) (dual of [2097411, 2097343, 20]-code) | [i] | ||
| 10 | Linear OA(12869, 2097432, F128, 19) (dual of [2097432, 2097363, 20]-code) | [i] | ||
| 11 | Linear OA(12872, 2097173, F128, 19) (dual of [2097173, 2097101, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(12871, 2097171, F128, 19) (dual of [2097171, 2097100, 20]-code) | [i] | ||
| 13 | Linear OA(12872, 2097174, F128, 19) (dual of [2097174, 2097102, 20]-code) | [i] | ||
| 14 | Linear OA(12869, 2097169, F128, 19) (dual of [2097169, 2097100, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(12870, 2097411, F128, 19) (dual of [2097411, 2097341, 20]-code) | [i] | ||
| 16 | Linear OA(12871, 2097432, F128, 19) (dual of [2097432, 2097361, 20]-code) | [i] | ||
| 17 | Linear OA(12872, 2097453, F128, 19) (dual of [2097453, 2097381, 20]-code) | [i] | ||
| 18 | Linear OA(12863, 2097162, F128, 19) (dual of [2097162, 2097099, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(12862, 2097160, F128, 21) (dual of [2097160, 2097098, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(12856, 2097160, F128, 19) (dual of [2097160, 2097104, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(12870, 2097168, F128, 23) (dual of [2097168, 2097098, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(12858, 2097168, F128, 19) (dual of [2097168, 2097110, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(12878, 2097176, F128, 25) (dual of [2097176, 2097098, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(12860, 2097176, F128, 19) (dual of [2097176, 2097116, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(12862, 2097184, F128, 19) (dual of [2097184, 2097122, 20]-code) | [i] | ✔ | |
| 26 | Linear OOA(12855, 699051, F128, 3, 19) (dual of [(699051, 3), 2097098, 20]-NRT-code) | [i] | OOA Folding | |