Information on Result #705115
Linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,363}, and designed minimum distance d ≥ |I|+1 = 43
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3168, 753, F3, 42) (dual of [753, 585, 43]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3169, 770, F3, 42) (dual of [770, 601, 43]-code) | [i] | ||
| 3 | Linear OA(3170, 789, F3, 42) (dual of [789, 619, 43]-code) | [i] | ||
| 4 | Linear OA(3183, 770, F3, 44) (dual of [770, 587, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(3181, 764, F3, 44) (dual of [764, 583, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(3191, 774, F3, 46) (dual of [774, 583, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(3201, 788, F3, 47) (dual of [788, 587, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(3199, 782, F3, 47) (dual of [782, 583, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(3207, 770, F3, 50) (dual of [770, 563, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(3205, 764, F3, 50) (dual of [764, 559, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(3217, 773, F3, 51) (dual of [773, 556, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(3215, 774, F3, 52) (dual of [774, 559, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(3225, 788, F3, 53) (dual of [788, 563, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(3223, 782, F3, 53) (dual of [782, 559, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(3235, 791, F3, 54) (dual of [791, 556, 55]-code) | [i] | ✔ | |
| 16 | Linear OOA(3165, 364, F3, 2, 42) (dual of [(364, 2), 563, 43]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(3165, 242, F3, 3, 42) (dual of [(242, 3), 561, 43]-NRT-code) | [i] | ||
| 18 | Linear OOA(3165, 182, F3, 4, 42) (dual of [(182, 4), 563, 43]-NRT-code) | [i] | ||