Information on Result #619593
Linear OA(12843, 2097153, F128, 15) (dual of [2097153, 2097110, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(12850, 2097282, F128, 15) (dual of [2097282, 2097232, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12851, 2097303, F128, 15) (dual of [2097303, 2097252, 16]-code) | [i] | ||
| 3 | Linear OA(12852, 2097305, F128, 15) (dual of [2097305, 2097253, 16]-code) | [i] | ||
| 4 | Linear OA(12853, 2097409, F128, 15) (dual of [2097409, 2097356, 16]-code) | [i] | ||
| 5 | Linear OA(12854, 2097535, F128, 15) (dual of [2097535, 2097481, 16]-code) | [i] | ||
| 6 | Linear OA(12855, 2097540, F128, 15) (dual of [2097540, 2097485, 16]-code) | [i] | ||
| 7 | Linear OA(12856, 2113538, F128, 15) (dual of [2113538, 2113482, 16]-code) | [i] | ||
| 8 | Linear OA(12853, 2097411, F128, 15) (dual of [2097411, 2097358, 16]-code) | [i] | ||
| 9 | Linear OA(12856, 2097168, F128, 15) (dual of [2097168, 2097112, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(12855, 2097411, F128, 15) (dual of [2097411, 2097356, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(12856, 2097432, F128, 15) (dual of [2097432, 2097376, 16]-code) | [i] | ||
| 12 | Linear OA(12849, 2097160, F128, 15) (dual of [2097160, 2097111, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(12850, 2097160, F128, 17) (dual of [2097160, 2097110, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(12844, 2097160, F128, 15) (dual of [2097160, 2097116, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(12858, 2097168, F128, 19) (dual of [2097168, 2097110, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(12846, 2097168, F128, 15) (dual of [2097168, 2097122, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(12866, 2097176, F128, 21) (dual of [2097176, 2097110, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(12848, 2097176, F128, 15) (dual of [2097176, 2097128, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(12874, 2097184, F128, 23) (dual of [2097184, 2097110, 24]-code) | [i] | ✔ | |
| 20 | Linear OOA(12843, 699051, F128, 3, 15) (dual of [(699051, 3), 2097110, 16]-NRT-code) | [i] | OOA Folding | |