Information on Result #704342
Linear OA(385, 728, F3, 22) (dual of [728, 643, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(385, 402, F3, 2, 22) (dual of [(402, 2), 719, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(385, 402, F3, 3, 22) (dual of [(402, 3), 1121, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(385, 402, F3, 4, 22) (dual of [(402, 4), 1523, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(385, 402, F3, 5, 22) (dual of [(402, 5), 1925, 23]-NRT-code) | [i] | ||
| 5 | Digital (63, 85, 402)-net over F3 | [i] | ||
| 6 | Linear OA(391, 759, F3, 21) (dual of [759, 668, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(391, 753, F3, 22) (dual of [753, 662, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(389, 748, F3, 21) (dual of [748, 659, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(390, 757, F3, 21) (dual of [757, 667, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(392, 757, F3, 22) (dual of [757, 665, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(389, 754, F3, 21) (dual of [754, 665, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(390, 751, F3, 22) (dual of [751, 661, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(387, 748, F3, 21) (dual of [748, 661, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(389, 748, F3, 22) (dual of [748, 659, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(396, 752, F3, 23) (dual of [752, 656, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(395, 750, F3, 23) (dual of [750, 655, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(394, 747, F3, 23) (dual of [747, 653, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(3103, 759, F3, 24) (dual of [759, 656, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(3102, 757, F3, 24) (dual of [757, 655, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(3104, 757, F3, 25) (dual of [757, 653, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(3101, 754, F3, 24) (dual of [754, 653, 25]-code) | [i] | ✔ | |
| 22 | Linear OOA(385, 364, F3, 2, 22) (dual of [(364, 2), 643, 23]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(385, 182, F3, 4, 22) (dual of [(182, 4), 643, 23]-NRT-code) | [i] | ||
| 24 | Linear OOA(385, 145, F3, 5, 22) (dual of [(145, 5), 640, 23]-NRT-code) | [i] | ||