Information on Result #618171
Linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3264, 32802, F32, 19) (dual of [32802, 32738, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3265, 32813, F32, 19) (dual of [32813, 32748, 20]-code) | [i] | ||
| 3 | Linear OA(3266, 32815, F32, 19) (dual of [32815, 32749, 20]-code) | [i] | ||
| 4 | Linear OA(3267, 32833, F32, 19) (dual of [32833, 32766, 20]-code) | [i] | ||
| 5 | Linear OA(3268, 32835, F32, 19) (dual of [32835, 32767, 20]-code) | [i] | ||
| 6 | Linear OA(3269, 32845, F32, 19) (dual of [32845, 32776, 20]-code) | [i] | ||
| 7 | Linear OA(3270, 32863, F32, 19) (dual of [32863, 32793, 20]-code) | [i] | ||
| 8 | Linear OA(3271, 32868, F32, 19) (dual of [32868, 32797, 20]-code) | [i] | ||
| 9 | Linear OA(3272, 33794, F32, 19) (dual of [33794, 33722, 20]-code) | [i] | ||
| 10 | Linear OA(3269, 32846, F32, 19) (dual of [32846, 32777, 20]-code) | [i] | ||
| 11 | Linear OA(3272, 32789, F32, 19) (dual of [32789, 32717, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(3271, 32787, F32, 19) (dual of [32787, 32716, 20]-code) | [i] | ||
| 13 | Linear OA(3272, 32790, F32, 19) (dual of [32790, 32718, 20]-code) | [i] | ||
| 14 | Linear OA(3269, 32785, F32, 19) (dual of [32785, 32716, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(3270, 32835, F32, 19) (dual of [32835, 32765, 20]-code) | [i] | ||
| 16 | Linear OA(3271, 32846, F32, 19) (dual of [32846, 32775, 20]-code) | [i] | ||
| 17 | Linear OA(3272, 32857, F32, 19) (dual of [32857, 32785, 20]-code) | [i] | ||
| 18 | Linear OA(3263, 32778, F32, 19) (dual of [32778, 32715, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(3262, 32776, F32, 21) (dual of [32776, 32714, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(3256, 32776, F32, 19) (dual of [32776, 32720, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3270, 32784, F32, 23) (dual of [32784, 32714, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(3258, 32784, F32, 19) (dual of [32784, 32726, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3278, 32792, F32, 25) (dual of [32792, 32714, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(3260, 32792, F32, 19) (dual of [32792, 32732, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(3286, 32800, F32, 27) (dual of [32800, 32714, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(3262, 32800, F32, 19) (dual of [32800, 32738, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(3295, 32809, F32, 29) (dual of [32809, 32714, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3293, 32802, F32, 28) (dual of [32802, 32709, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(32103, 32813, F32, 31) (dual of [32813, 32710, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(32104, 32815, F32, 31) (dual of [32815, 32711, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(32105, 32819, F32, 31) (dual of [32819, 32714, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(32102, 32813, F32, 30) (dual of [32813, 32711, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(32103, 32815, F32, 30) (dual of [32815, 32712, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(3294, 32803, F32, 29) (dual of [32803, 32709, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 35 | Linear OA(3288, 32803, F32, 27) (dual of [32803, 32715, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(3264, 32803, F32, 19) (dual of [32803, 32739, 20]-code) | [i] | ✔ | |