Information on Result #694814
Linear OA(2733, 531441, F27, 9) (dual of [531441, 531408, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(2733, 454276, F27, 2, 9) (dual of [(454276, 2), 908519, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (24, 33, 454276)-net over F27 | [i] | ||
| 3 | Linear OA(2737, 531445, F27, 10) (dual of [531445, 531408, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2733, 531445, F27, 9) (dual of [531445, 531412, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(2747, 531455, F27, 12) (dual of [531455, 531408, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(2735, 531455, F27, 9) (dual of [531455, 531420, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2757, 531465, F27, 14) (dual of [531465, 531408, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(2768, 531476, F27, 16) (dual of [531476, 531408, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(2779, 531487, F27, 18) (dual of [531487, 531408, 19]-code) | [i] | ✔ | |