Information on Result #704559
Linear OA(3121, 728, F3, 31) (dual of [728, 607, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,367}, and designed minimum distance d ≥ |I|+1 = 32
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(3121, 525, F3, 2, 31) (dual of [(525, 2), 929, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3121, 525, F3, 3, 31) (dual of [(525, 3), 1454, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 525, F3, 4, 31) (dual of [(525, 4), 1979, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3121, 525, F3, 5, 31) (dual of [(525, 5), 2504, 32]-NRT-code) | [i] | ||
| 5 | Digital (90, 121, 525)-net over F3 | [i] | ||
| 6 | Linear OA(3134, 774, F3, 31) (dual of [774, 640, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3154, 772, F3, 37) (dual of [772, 618, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(3151, 769, F3, 36) (dual of [769, 618, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(3177, 777, F3, 41) (dual of [777, 600, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3175, 782, F3, 41) (dual of [782, 607, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3173, 776, F3, 41) (dual of [776, 603, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(3185, 785, F3, 42) (dual of [785, 600, 43]-code) | [i] | ✔ | |