Information on Result #705593
Linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {313,314,…,364}, and designed minimum distance d ≥ |I|+1 = 53
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3215, 759, F3, 53) (dual of [759, 544, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3209, 741, F3, 53) (dual of [741, 532, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(3231, 757, F3, 59) (dual of [757, 526, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(3243, 769, F3, 60) (dual of [769, 526, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(3242, 766, F3, 60) (dual of [766, 524, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(3241, 761, F3, 60) (dual of [761, 520, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(3241, 767, F3, 61) (dual of [767, 526, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(3238, 764, F3, 60) (dual of [764, 526, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(3249, 775, F3, 62) (dual of [775, 526, 63]-code) | [i] | ✔ | |
| 10 | Linear OOA(3202, 364, F3, 2, 52) (dual of [(364, 2), 526, 53]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3202, 182, F3, 4, 52) (dual of [(182, 4), 526, 53]-NRT-code) | [i] | ||