Information on Result #617656
Linear OA(27101, 531441, F27, 26) (dual of [531441, 531340, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, 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(27101, 347048, F27, 2, 26) (dual of [(347048, 2), 693995, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (75, 101, 347048)-net over F27 | [i] | ||
| 3 | Linear OA(27106, 531446, F27, 28) (dual of [531446, 531340, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(27101, 531445, F27, 26) (dual of [531445, 531344, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(27102, 531450, F27, 26) (dual of [531450, 531348, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(27103, 531455, F27, 26) (dual of [531455, 531352, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(27104, 531460, F27, 26) (dual of [531460, 531356, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(27105, 531465, F27, 26) (dual of [531465, 531360, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(27106, 531469, F27, 26) (dual of [531469, 531363, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(27107, 531471, F27, 26) (dual of [531471, 531364, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(27108, 531476, F27, 26) (dual of [531476, 531368, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(27109, 531479, F27, 26) (dual of [531479, 531370, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(27110, 531482, F27, 26) (dual of [531482, 531372, 27]-code) | [i] | ✔ | |
| 14 | Linear OOA(27101, 40880, F27, 26, 26) (dual of [(40880, 26), 1062779, 27]-NRT-code) | [i] | OA Folding and Stacking | |