Information on Result #705668
Linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,365}, and designed minimum distance d ≥ |I|+1 = 60
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3241, 773, F3, 59) (dual of [773, 532, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3239, 772, F3, 59) (dual of [772, 533, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(3238, 767, F3, 59) (dual of [767, 529, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(3238, 770, F3, 59) (dual of [770, 532, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(3237, 765, F3, 59) (dual of [765, 528, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(3232, 759, F3, 59) (dual of [759, 527, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(3231, 757, F3, 59) (dual of [757, 526, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(3245, 771, F3, 61) (dual of [771, 526, 62]-code) | [i] | ✔ | |
| 9 | Linear OA(3244, 766, F3, 61) (dual of [766, 522, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(3230, 750, F3, 59) (dual of [750, 520, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(3229, 747, F3, 59) (dual of [747, 518, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(3229, 748, F3, 59) (dual of [748, 519, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(3238, 758, F3, 61) (dual of [758, 520, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(3224, 738, F3, 59) (dual of [738, 514, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(3231, 739, F3, 61) (dual of [739, 508, 62]-code) | [i] | ✔ | |