Information on Result #704165
Linear OA(349, 728, F3, 13) (dual of [728, 679, 14]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(355, 753, F3, 13) (dual of [753, 698, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(353, 748, F3, 12) (dual of [748, 695, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(354, 757, F3, 12) (dual of [757, 703, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(353, 754, F3, 12) (dual of [754, 701, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(354, 751, F3, 13) (dual of [751, 697, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(351, 748, F3, 12) (dual of [748, 697, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 748, F3, 13) (dual of [748, 695, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(360, 752, F3, 14) (dual of [752, 692, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(359, 750, F3, 14) (dual of [750, 691, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(358, 747, F3, 14) (dual of [747, 689, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(367, 759, F3, 15) (dual of [759, 692, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(366, 757, F3, 15) (dual of [757, 691, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(368, 757, F3, 16) (dual of [757, 689, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(365, 754, F3, 15) (dual of [754, 689, 16]-code) | [i] | ✔ | |
| 15 | Linear OOA(349, 182, F3, 4, 13) (dual of [(182, 4), 679, 14]-NRT-code) | [i] | OOA Folding | |