Information on Result #616429
Linear OA(16121, 1048576, F16, 26) (dual of [1048576, 1048455, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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 OOA(16121, 685273, F16, 2, 26) (dual of [(685273, 2), 1370425, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (95, 121, 685273)-net over F16 | [i] | ||
| 3 | Linear OA(16126, 1048581, F16, 27) (dual of [1048581, 1048455, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16121, 1048581, F16, 26) (dual of [1048581, 1048460, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(16122, 1048587, F16, 26) (dual of [1048587, 1048465, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(16123, 1048593, F16, 26) (dual of [1048593, 1048470, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(16125, 1048600, F16, 26) (dual of [1048600, 1048475, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(16127, 1048607, F16, 26) (dual of [1048607, 1048480, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(16128, 1048613, F16, 26) (dual of [1048613, 1048485, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(16126, 1048602, F16, 26) (dual of [1048602, 1048476, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |