Information on Result #704311
Linear OA(379, 728, F3, 20) (dual of [728, 649, 21]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,16}, and designed minimum distance d ≥ |I|+1 = 21
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 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(379, 426, F3, 2, 20) (dual of [(426, 2), 773, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(379, 426, F3, 3, 20) (dual of [(426, 3), 1199, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(379, 426, F3, 4, 20) (dual of [(426, 4), 1625, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(379, 426, F3, 5, 20) (dual of [(426, 5), 2051, 21]-NRT-code) | [i] | ||
| 5 | Digital (59, 79, 426)-net over F3 | [i] | ||
| 6 | Linear OA(384, 752, F3, 20) (dual of [752, 668, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(383, 750, F3, 20) (dual of [750, 667, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(382, 747, F3, 20) (dual of [747, 665, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(391, 753, F3, 22) (dual of [753, 662, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(389, 748, F3, 21) (dual of [748, 659, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(390, 751, F3, 22) (dual of [751, 661, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(387, 748, F3, 21) (dual of [748, 661, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(389, 748, F3, 22) (dual of [748, 659, 23]-code) | [i] | ✔ | |