Information on Result #725740
Linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,11}, and designed minimum distance d ≥ |I|+1 = 22
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 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(2751, 762, F27, 21) (dual of [762, 711, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2750, 759, F27, 21) (dual of [759, 709, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2749, 756, F27, 21) (dual of [756, 707, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2751, 756, F27, 22) (dual of [756, 705, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(2754, 759, F27, 23) (dual of [759, 705, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(2757, 762, F27, 24) (dual of [762, 705, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(2760, 765, F27, 25) (dual of [765, 705, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(2763, 768, F27, 26) (dual of [768, 705, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(2766, 771, F27, 27) (dual of [771, 705, 28]-code) | [i] | ✔ | |