Information on Result #705066
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 = {−7,−6,…,36}, 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(3193, 790, F3, 44) (dual of [790, 597, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3190, 781, F3, 44) (dual of [781, 591, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(3187, 772, F3, 44) (dual of [772, 585, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(3192, 771, F3, 45) (dual of [771, 579, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(3202, 781, F3, 47) (dual of [781, 579, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(3210, 789, F3, 48) (dual of [789, 579, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(3220, 799, F3, 50) (dual of [799, 579, 51]-code) | [i] | ✔ | |