Information on Result #704383
Linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,19}, and designed minimum distance d ≥ |I|+1 = 24
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 Expurgated Narrow-Sense BCH-Codes [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(391, 463, F3, 2, 23) (dual of [(463, 2), 835, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(391, 463, F3, 3, 23) (dual of [(463, 3), 1298, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(391, 463, F3, 4, 23) (dual of [(463, 4), 1761, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(391, 463, F3, 5, 23) (dual of [(463, 5), 2224, 24]-NRT-code) | [i] | ||
| 5 | Digital (68, 91, 463)-net over F3 | [i] | ||
| 6 | Linear OA(396, 752, F3, 23) (dual of [752, 656, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(395, 750, F3, 23) (dual of [750, 655, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(394, 747, F3, 23) (dual of [747, 653, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3103, 753, F3, 25) (dual of [753, 650, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(3101, 748, F3, 24) (dual of [748, 647, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(3102, 751, F3, 25) (dual of [751, 649, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(399, 748, F3, 24) (dual of [748, 649, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(3101, 748, F3, 25) (dual of [748, 647, 26]-code) | [i] | ✔ | |