Information on Result #726628
Linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,30}, and designed minimum distance d ≥ |I|+1 = 41
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(2787, 763, F27, 40) (dual of [763, 676, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(2786, 761, F27, 40) (dual of [761, 675, 41]-code) | [i] | ✔ | |
3 | Linear OA(2785, 759, F27, 40) (dual of [759, 674, 41]-code) | [i] | ✔ | |
4 | Linear OA(2784, 756, F27, 40) (dual of [756, 672, 41]-code) | [i] | ✔ | |
5 | Linear OA(2786, 756, F27, 41) (dual of [756, 670, 42]-code) | [i] | ✔ | |
6 | Linear OA(2789, 759, F27, 42) (dual of [759, 670, 43]-code) | [i] | ✔ | |
7 | Linear OA(2792, 762, F27, 43) (dual of [762, 670, 44]-code) | [i] | ✔ | |
8 | Linear OA(2795, 765, F27, 44) (dual of [765, 670, 45]-code) | [i] | ✔ | |
9 | Linear OA(2798, 768, F27, 45) (dual of [768, 670, 46]-code) | [i] | ✔ | |
10 | Linear OA(27101, 771, F27, 46) (dual of [771, 670, 47]-code) | [i] | ✔ | |
11 | Linear OA(27104, 774, F27, 47) (dual of [774, 670, 48]-code) | [i] | ✔ | |
12 | Linear OA(27107, 777, F27, 48) (dual of [777, 670, 49]-code) | [i] | ✔ | |
13 | Linear OA(27110, 780, F27, 49) (dual of [780, 670, 50]-code) | [i] | ✔ |