Information on Result #704211
Linear OA(367, 728, F3, 17) (dual of [728, 661, 18]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {349,350,…,365}, and designed minimum distance d ≥ |I|+1 = 18
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(367, 391, F3, 2, 17) (dual of [(391, 2), 715, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(367, 391, F3, 3, 17) (dual of [(391, 3), 1106, 18]-NRT-code) | [i] | ||
3 | Linear OOA(367, 391, F3, 4, 17) (dual of [(391, 4), 1497, 18]-NRT-code) | [i] | ||
4 | Linear OOA(367, 391, F3, 5, 17) (dual of [(391, 5), 1888, 18]-NRT-code) | [i] | ||
5 | Digital (50, 67, 391)-net over F3 | [i] | ||
6 | Linear OA(376, 764, F3, 17) (dual of [764, 688, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(374, 759, F3, 17) (dual of [759, 685, 18]-code) | [i] | ✔ | |
8 | Linear OA(368, 741, F3, 17) (dual of [741, 673, 18]-code) | [i] | ✔ | |
9 | Linear OA(375, 742, F3, 19) (dual of [742, 667, 20]-code) | [i] | ✔ | |
10 | Linear OA(393, 766, F3, 21) (dual of [766, 673, 22]-code) | [i] | ✔ | |
11 | Linear OA(393, 760, F3, 22) (dual of [760, 667, 23]-code) | [i] | ✔ | |
12 | Linear OA(3102, 770, F3, 23) (dual of [770, 668, 24]-code) | [i] | ✔ | |
13 | Linear OA(3100, 764, F3, 23) (dual of [764, 664, 24]-code) | [i] | ✔ | |
14 | Linear OA(3105, 766, F3, 24) (dual of [766, 661, 25]-code) | [i] | ✔ | |
15 | Linear OA(3116, 777, F3, 26) (dual of [777, 661, 27]-code) | [i] | ✔ | |
16 | Linear OA(3123, 780, F3, 27) (dual of [780, 657, 28]-code) | [i] | ✔ |