Information on Result #704288
Linear OA(385, 728, F3, 21) (dual of [728, 643, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {345,346,…,365}, and designed minimum distance d ≥ |I|+1 = 22
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(385, 493, F3, 2, 21) (dual of [(493, 2), 901, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(385, 493, F3, 3, 21) (dual of [(493, 3), 1394, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(385, 493, F3, 4, 21) (dual of [(493, 4), 1887, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(385, 493, F3, 5, 21) (dual of [(493, 5), 2380, 22]-NRT-code) | [i] | ||
| 5 | Digital (64, 85, 493)-net over F3 | [i] | ||
| 6 | Linear OA(396, 770, F3, 21) (dual of [770, 674, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(394, 764, F3, 21) (dual of [764, 670, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(395, 768, F3, 21) (dual of [768, 673, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(393, 762, F3, 21) (dual of [762, 669, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(389, 749, F3, 21) (dual of [749, 660, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(389, 750, F3, 21) (dual of [750, 661, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(388, 747, F3, 21) (dual of [747, 659, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3101, 749, F3, 24) (dual of [749, 648, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(392, 741, F3, 23) (dual of [741, 649, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(3116, 777, F3, 26) (dual of [777, 661, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(3101, 750, F3, 24) (dual of [750, 649, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(3100, 747, F3, 24) (dual of [747, 647, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(3123, 780, F3, 27) (dual of [780, 657, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3120, 770, F3, 27) (dual of [770, 650, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(3118, 764, F3, 27) (dual of [764, 646, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(3110, 759, F3, 26) (dual of [759, 649, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(3119, 768, F3, 27) (dual of [768, 649, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3117, 762, F3, 27) (dual of [762, 645, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(399, 742, F3, 25) (dual of [742, 643, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(3117, 760, F3, 28) (dual of [760, 643, 29]-code) | [i] | ✔ | |