Information on Result #704597
Linear OA(3130, 728, F3, 33) (dual of [728, 598, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,368}, and designed minimum distance d ≥ |I|+1 = 34
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(3130, 574, F3, 2, 33) (dual of [(574, 2), 1018, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3130, 574, F3, 3, 33) (dual of [(574, 3), 1592, 34]-NRT-code) | [i] | ||
3 | Linear OOA(3130, 574, F3, 4, 33) (dual of [(574, 4), 2166, 34]-NRT-code) | [i] | ||
4 | Linear OOA(3130, 574, F3, 5, 33) (dual of [(574, 5), 2740, 34]-NRT-code) | [i] | ||
5 | Digital (97, 130, 574)-net over F3 | [i] | ||
6 | Linear OA(3151, 791, F3, 33) (dual of [791, 640, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
7 | Linear OA(3150, 789, F3, 33) (dual of [789, 639, 34]-code) | [i] | ✔ | |
8 | Linear OA(3147, 785, F3, 33) (dual of [785, 638, 34]-code) | [i] | ✔ | |
9 | Linear OA(3145, 782, F3, 33) (dual of [782, 637, 34]-code) | [i] | ✔ | |
10 | Linear OA(3144, 780, F3, 33) (dual of [780, 636, 34]-code) | [i] | ✔ | |
11 | Linear OA(3142, 772, F3, 33) (dual of [772, 630, 34]-code) | [i] | ✔ | |
12 | Linear OA(3171, 788, F3, 39) (dual of [788, 617, 40]-code) | [i] | ✔ | |
13 | Linear OA(3161, 777, F3, 38) (dual of [777, 616, 39]-code) | [i] | ✔ | |
14 | Linear OA(3170, 786, F3, 39) (dual of [786, 616, 40]-code) | [i] | ✔ | |
15 | Linear OA(3168, 780, F3, 39) (dual of [780, 612, 40]-code) | [i] | ✔ |