Information on Result #694790
Linear OA(2797, 531441, F27, 25) (dual of [531441, 531344, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2797, 341866, F27, 2, 25) (dual of [(341866, 2), 683635, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (72, 97, 341866)-net over F27 | [i] | ||
| 3 | Linear OA(27101, 531445, F27, 26) (dual of [531445, 531344, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2797, 531445, F27, 25) (dual of [531445, 531348, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(27107, 531451, F27, 28) (dual of [531451, 531344, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(2799, 531455, F27, 25) (dual of [531455, 531356, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(27101, 531465, F27, 25) (dual of [531465, 531364, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(27104, 531476, F27, 25) (dual of [531476, 531372, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(27107, 531487, F27, 25) (dual of [531487, 531380, 26]-code) | [i] | ✔ | |