Information on Result #704179
Linear OA(355, 728, F3, 14) (dual of [728, 673, 15]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {352,353,…,365}, and designed minimum distance d ≥ |I|+1 = 15
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(362, 759, F3, 14) (dual of [759, 697, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(356, 741, F3, 14) (dual of [741, 685, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(363, 742, F3, 16) (dual of [742, 679, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(381, 766, F3, 18) (dual of [766, 685, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(381, 760, F3, 19) (dual of [760, 679, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(390, 770, F3, 20) (dual of [770, 680, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(388, 764, F3, 20) (dual of [764, 676, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(393, 766, F3, 21) (dual of [766, 673, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(3104, 777, F3, 23) (dual of [777, 673, 24]-code) | [i] | ✔ | |