Information on Result #704334
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 = {343,344,…,365}, 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(3102, 770, F3, 23) (dual of [770, 668, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3100, 764, F3, 23) (dual of [764, 664, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(398, 759, F3, 23) (dual of [759, 661, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(392, 741, F3, 23) (dual of [741, 649, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(399, 742, F3, 25) (dual of [742, 643, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3117, 766, F3, 27) (dual of [766, 649, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3117, 760, F3, 28) (dual of [760, 643, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(3126, 770, F3, 29) (dual of [770, 644, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(3133, 773, F3, 30) (dual of [773, 640, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(3132, 771, F3, 30) (dual of [771, 639, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3139, 772, F3, 32) (dual of [772, 633, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(3149, 786, F3, 33) (dual of [786, 637, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3147, 780, F3, 33) (dual of [780, 633, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3157, 790, F3, 35) (dual of [790, 633, 36]-code) | [i] | ✔ | |