Information on Result #704146
Linear OA(337, 728, F3, 10) (dual of [728, 691, 11]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,6}, and designed minimum distance d ≥ |I|+1 = 11
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(339, 748, F3, 9) (dual of [748, 709, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(341, 748, F3, 10) (dual of [748, 707, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(348, 752, F3, 11) (dual of [752, 704, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(347, 750, F3, 11) (dual of [750, 703, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(346, 747, F3, 11) (dual of [747, 701, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(354, 757, F3, 12) (dual of [757, 703, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 754, F3, 12) (dual of [754, 701, 13]-code) | [i] | ✔ | |
| 8 | Linear OOA(337, 364, F3, 2, 10) (dual of [(364, 2), 691, 11]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(337, 182, F3, 4, 10) (dual of [(182, 4), 691, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(337, 145, F3, 5, 10) (dual of [(145, 5), 688, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(337, 145, F3, 10, 10) (dual of [(145, 10), 1413, 11]-NRT-code) | [i] | OA Folding and Stacking | |