Information on Result #726550
Linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,29}, and designed minimum distance d ≥ |I|+1 = 40
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2784, 760, F27, 39) (dual of [760, 676, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2783, 758, F27, 39) (dual of [758, 675, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(2782, 756, F27, 39) (dual of [756, 674, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2784, 756, F27, 40) (dual of [756, 672, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(2787, 759, F27, 41) (dual of [759, 672, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2790, 762, F27, 42) (dual of [762, 672, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2793, 765, F27, 43) (dual of [765, 672, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2796, 768, F27, 44) (dual of [768, 672, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(2799, 771, F27, 45) (dual of [771, 672, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(27102, 774, F27, 46) (dual of [774, 672, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(27105, 777, F27, 47) (dual of [777, 672, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(27108, 780, F27, 48) (dual of [780, 672, 49]-code) | [i] | ✔ | |