Information on Result #705221
Linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,40}, and designed minimum distance d ≥ |I|+1 = 45
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 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(3177, 752, F3, 44) (dual of [752, 575, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3176, 750, F3, 44) (dual of [750, 574, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(3175, 747, F3, 44) (dual of [747, 572, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(3184, 753, F3, 46) (dual of [753, 569, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(3182, 748, F3, 45) (dual of [748, 566, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(3183, 751, F3, 46) (dual of [751, 568, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(3180, 748, F3, 45) (dual of [748, 568, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(3182, 748, F3, 46) (dual of [748, 566, 47]-code) | [i] | ✔ | |