Information on Result #617677
Linear OA(27105, 531441, F27, 28) (dual of [531441, 531336, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(27104, 531440, F27, 27) (dual of [531440, 531336, 28]-code) | [i] | Truncation | |
| 2 | Linear OA(27109, 531445, F27, 29) (dual of [531445, 531336, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(27106, 531446, F27, 28) (dual of [531446, 531340, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(27107, 531451, F27, 28) (dual of [531451, 531344, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(27108, 531456, F27, 28) (dual of [531456, 531348, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(27109, 531461, F27, 28) (dual of [531461, 531352, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(27110, 531466, F27, 28) (dual of [531466, 531356, 29]-code) | [i] | ✔ | |
| 8 | Linear OOA(27105, 265720, F27, 2, 28) (dual of [(265720, 2), 531335, 29]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(27105, 37960, F27, 28, 28) (dual of [(37960, 28), 1062775, 29]-NRT-code) | [i] | OA Folding and Stacking | |