Information on Result #619643
Linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(12875, 2097281, F128, 22) (dual of [2097281, 2097206, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12876, 2097302, F128, 22) (dual of [2097302, 2097226, 23]-code) | [i] | ||
| 3 | Linear OA(12877, 2097304, F128, 22) (dual of [2097304, 2097227, 23]-code) | [i] | ||
| 4 | Linear OA(12878, 2097344, F128, 22) (dual of [2097344, 2097266, 23]-code) | [i] | ||
| 5 | Linear OA(12867, 2097155, F128, 23) (dual of [2097155, 2097088, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(12864, 2097155, F128, 22) (dual of [2097155, 2097091, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(12871, 2097159, F128, 24) (dual of [2097159, 2097088, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(12865, 2097159, F128, 22) (dual of [2097159, 2097094, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(12875, 2097163, F128, 25) (dual of [2097163, 2097088, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(12866, 2097163, F128, 22) (dual of [2097163, 2097097, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(12867, 2097167, F128, 22) (dual of [2097167, 2097100, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(12868, 2097171, F128, 22) (dual of [2097171, 2097103, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(12869, 2097175, F128, 22) (dual of [2097175, 2097106, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(12870, 2097179, F128, 22) (dual of [2097179, 2097109, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(12871, 2097183, F128, 22) (dual of [2097183, 2097112, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(12872, 2097187, F128, 22) (dual of [2097187, 2097115, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(12873, 2097191, F128, 22) (dual of [2097191, 2097118, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(12874, 2097195, F128, 22) (dual of [2097195, 2097121, 23]-code) | [i] | ✔ | |
| 19 | Linear OOA(12864, 524288, F128, 4, 22) (dual of [(524288, 4), 2097088, 23]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(12864, 190650, F128, 22, 22) (dual of [(190650, 22), 4194236, 23]-NRT-code) | [i] | OA Folding and Stacking | |