Information on Result #704695
Linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,367}, and designed minimum distance d ≥ |I|+1 = 38
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(3162, 783, F3, 37) (dual of [783, 621, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(3160, 781, F3, 36) (dual of [781, 621, 37]-code) | [i] | ✔ | |
3 | Linear OA(3161, 781, F3, 37) (dual of [781, 620, 38]-code) | [i] | ✔ | |
4 | Linear OA(3158, 778, F3, 36) (dual of [778, 620, 37]-code) | [i] | ✔ | |
5 | Linear OA(3154, 772, F3, 37) (dual of [772, 618, 38]-code) | [i] | ✔ | |
6 | Linear OA(3151, 769, F3, 36) (dual of [769, 618, 37]-code) | [i] | ✔ | |
7 | Linear OA(3150, 766, F3, 36) (dual of [766, 616, 37]-code) | [i] | ✔ | |
8 | Linear OA(3173, 781, F3, 40) (dual of [781, 608, 41]-code) | [i] | ✔ | |
9 | Linear OA(3170, 778, F3, 39) (dual of [778, 608, 40]-code) | [i] | ✔ | |
10 | Linear OA(3181, 789, F3, 41) (dual of [789, 608, 42]-code) | [i] | ✔ | |
11 | Linear OA(3144, 742, F3, 37) (dual of [742, 598, 38]-code) | [i] | ✔ | |
12 | Linear OA(3179, 774, F3, 43) (dual of [774, 595, 44]-code) | [i] | ✔ | |
13 | Linear OOA(3142, 364, F3, 2, 37) (dual of [(364, 2), 586, 38]-NRT-code) | [i] | OOA Folding | |
14 | Linear OOA(3142, 182, F3, 4, 37) (dual of [(182, 4), 586, 38]-NRT-code) | [i] | ||
15 | Linear OOA(3142, 145, F3, 5, 37) (dual of [(145, 5), 583, 38]-NRT-code) | [i] |