Information on Result #866219
Linear OOA(2753, 364, F27, 2, 28) (dual of [(364, 2), 675, 29]-NRT-code), using OOA 2-folding based on linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using
- the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
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(2767, 392, F27, 2, 28) (dual of [(392, 2), 717, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2768, 402, F27, 2, 28) (dual of [(402, 2), 736, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(2769, 412, F27, 2, 28) (dual of [(412, 2), 755, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2770, 416, F27, 2, 28) (dual of [(416, 2), 762, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(2771, 428, F27, 2, 28) (dual of [(428, 2), 785, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2772, 432, F27, 2, 28) (dual of [(432, 2), 792, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(2773, 440, F27, 2, 28) (dual of [(440, 2), 807, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(2774, 446, F27, 2, 28) (dual of [(446, 2), 818, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(2775, 448, F27, 2, 28) (dual of [(448, 2), 821, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(2776, 452, F27, 2, 28) (dual of [(452, 2), 828, 29]-NRT-code) | [i] | ||
| 11 | Linear OOA(2777, 458, F27, 2, 28) (dual of [(458, 2), 839, 29]-NRT-code) | [i] | ||
| 12 | Digital (25, 53, 313)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |