Information on Result #705857
Linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,57}, and designed minimum distance d ≥ |I|+1 = 62
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3235, 750, F3, 61) (dual of [750, 515, 62]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3234, 748, F3, 61) (dual of [748, 514, 62]-code) | [i] | ✔ | |
| 3 | Linear OA(3231, 745, F3, 60) (dual of [745, 514, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(3240, 752, F3, 62) (dual of [752, 512, 63]-code) | [i] | ✔ | |
| 5 | Linear OA(3239, 750, F3, 62) (dual of [750, 511, 63]-code) | [i] | ✔ | |
| 6 | Linear OA(3238, 747, F3, 62) (dual of [747, 509, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(3247, 759, F3, 63) (dual of [759, 512, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(3246, 757, F3, 63) (dual of [757, 511, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(3248, 757, F3, 64) (dual of [757, 509, 65]-code) | [i] | ✔ | |
| 10 | Linear OA(3245, 754, F3, 63) (dual of [754, 509, 64]-code) | [i] | ✔ | |
| 11 | Linear OOA(3229, 182, F3, 4, 61) (dual of [(182, 4), 499, 62]-NRT-code) | [i] | OOA Folding | |