Information on Result #704424
Linear OA(397, 728, F3, 25) (dual of [728, 631, 26]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,21}, and designed minimum distance d ≥ |I|+1 = 26
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(397, 443, F3, 2, 25) (dual of [(443, 2), 789, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 443, F3, 3, 25) (dual of [(443, 3), 1232, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 443, F3, 4, 25) (dual of [(443, 4), 1675, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(397, 443, F3, 5, 25) (dual of [(443, 5), 2118, 26]-NRT-code) | [i] | ||
| 5 | Digital (72, 97, 443)-net over F3 | [i] | ||
| 6 | Linear OA(3103, 759, F3, 24) (dual of [759, 656, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3103, 753, F3, 25) (dual of [753, 650, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3101, 748, F3, 24) (dual of [748, 647, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3102, 757, F3, 24) (dual of [757, 655, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3104, 757, F3, 25) (dual of [757, 653, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3101, 754, F3, 24) (dual of [754, 653, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3102, 751, F3, 25) (dual of [751, 649, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(399, 748, F3, 24) (dual of [748, 649, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(3101, 748, F3, 25) (dual of [748, 647, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(3108, 752, F3, 26) (dual of [752, 644, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(3107, 750, F3, 26) (dual of [750, 643, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(3106, 747, F3, 26) (dual of [747, 641, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(3115, 759, F3, 27) (dual of [759, 644, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3114, 757, F3, 27) (dual of [757, 643, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(3116, 757, F3, 28) (dual of [757, 641, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(3113, 754, F3, 27) (dual of [754, 641, 28]-code) | [i] | ✔ | |
| 22 | Linear OOA(397, 182, F3, 4, 25) (dual of [(182, 4), 631, 26]-NRT-code) | [i] | OOA Folding | |