Information on Result #704810
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 = {364,365,…,388}, 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 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 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(3160, 790, F3, 37) (dual of [790, 630, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3158, 788, F3, 36) (dual of [788, 630, 37]-code) | [i] | ✔ | |
| 8 | Linear OOA(397, 182, F3, 4, 25) (dual of [(182, 4), 631, 26]-NRT-code) | [i] | OOA Folding | |