Information on Result #619656
Linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(12873, 2097155, F128, 25) (dual of [2097155, 2097082, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12870, 2097155, F128, 24) (dual of [2097155, 2097085, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(12877, 2097159, F128, 26) (dual of [2097159, 2097082, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(12871, 2097159, F128, 24) (dual of [2097159, 2097088, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(12872, 2097163, F128, 24) (dual of [2097163, 2097091, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(12873, 2097167, F128, 24) (dual of [2097167, 2097094, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(12874, 2097171, F128, 24) (dual of [2097171, 2097097, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(12875, 2097175, F128, 24) (dual of [2097175, 2097100, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(12876, 2097179, F128, 24) (dual of [2097179, 2097103, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(12877, 2097183, F128, 24) (dual of [2097183, 2097106, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(12878, 2097187, F128, 24) (dual of [2097187, 2097109, 25]-code) | [i] | ✔ | |
| 12 | Linear OOA(12870, 524288, F128, 4, 24) (dual of [(524288, 4), 2097082, 25]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(12870, 174762, F128, 24, 24) (dual of [(174762, 24), 4194218, 25]-NRT-code) | [i] | OA Folding and Stacking | |