Information on Result #727140
Linear OA(2798, 728, F27, 51) (dual of [728, 630, 52]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,40}, and designed minimum distance d ≥ |I|+1 = 52
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27110, 767, F27, 51) (dual of [767, 657, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27109, 764, F27, 51) (dual of [764, 655, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(27107, 758, F27, 51) (dual of [758, 651, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(27109, 758, F27, 52) (dual of [758, 649, 53]-code) | [i] | ✔ | |