Information on Result #704982
Linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,363}, and designed minimum distance d ≥ |I|+1 = 40
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(3172, 748, F3, 39) (dual of [748, 576, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3178, 755, F3, 39) (dual of [755, 577, 40]-code) | [i] | ||
| 3 | Linear OA(3180, 759, F3, 39) (dual of [759, 579, 40]-code) | [i] | ||
| 4 | Linear OA(3158, 756, F3, 39) (dual of [756, 598, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(3159, 771, F3, 39) (dual of [771, 612, 40]-code) | [i] | ||
| 6 | Linear OA(3160, 789, F3, 39) (dual of [789, 629, 40]-code) | [i] | ||
| 7 | Linear OA(3161, 810, F3, 39) (dual of [810, 649, 40]-code) | [i] | ||
| 8 | Linear OA(3162, 832, F3, 39) (dual of [832, 670, 40]-code) | [i] | ||
| 9 | Linear OA(3171, 770, F3, 41) (dual of [770, 599, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(3169, 764, F3, 41) (dual of [764, 595, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3179, 774, F3, 43) (dual of [774, 595, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(3189, 788, F3, 44) (dual of [788, 599, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(3187, 782, F3, 44) (dual of [782, 595, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(3195, 770, F3, 47) (dual of [770, 575, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(3193, 764, F3, 47) (dual of [764, 571, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(3205, 773, F3, 48) (dual of [773, 568, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(3203, 774, F3, 49) (dual of [774, 571, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(3213, 788, F3, 50) (dual of [788, 575, 51]-code) | [i] | ✔ | |
| 19 | Linear OA(3211, 782, F3, 50) (dual of [782, 571, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(3223, 791, F3, 51) (dual of [791, 568, 52]-code) | [i] | ✔ | |
| 21 | Linear OOA(3153, 364, F3, 2, 39) (dual of [(364, 2), 575, 40]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(3153, 242, F3, 3, 39) (dual of [(242, 3), 573, 40]-NRT-code) | [i] | ||
| 23 | Linear OOA(3153, 182, F3, 4, 39) (dual of [(182, 4), 575, 40]-NRT-code) | [i] | ||
| 24 | Linear OOA(3153, 145, F3, 5, 39) (dual of [(145, 5), 572, 40]-NRT-code) | [i] | ||