Information on Result #618150
Linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(3257, 32802, F32, 17) (dual of [32802, 32745, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3258, 32813, F32, 17) (dual of [32813, 32755, 18]-code) | [i] | ||
| 3 | Linear OA(3259, 32815, F32, 17) (dual of [32815, 32756, 18]-code) | [i] | ||
| 4 | Linear OA(3260, 32833, F32, 17) (dual of [32833, 32773, 18]-code) | [i] | ||
| 5 | Linear OA(3261, 32835, F32, 17) (dual of [32835, 32774, 18]-code) | [i] | ||
| 6 | Linear OA(3262, 32863, F32, 17) (dual of [32863, 32801, 18]-code) | [i] | ||
| 7 | Linear OA(3263, 32868, F32, 17) (dual of [32868, 32805, 18]-code) | [i] | ||
| 8 | Linear OA(3264, 33793, F32, 17) (dual of [33793, 33729, 18]-code) | [i] | ||
| 9 | Linear OA(3264, 32787, F32, 17) (dual of [32787, 32723, 18]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3261, 32783, F32, 17) (dual of [32783, 32722, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3262, 32835, F32, 17) (dual of [32835, 32773, 18]-code) | [i] | ||
| 12 | Linear OA(3263, 32846, F32, 17) (dual of [32846, 32783, 18]-code) | [i] | ||
| 13 | Linear OA(3264, 32857, F32, 17) (dual of [32857, 32793, 18]-code) | [i] | ||
| 14 | Linear OA(3257, 32778, F32, 17) (dual of [32778, 32721, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(3256, 32776, F32, 19) (dual of [32776, 32720, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(3250, 32776, F32, 17) (dual of [32776, 32726, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(3264, 32784, F32, 21) (dual of [32784, 32720, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3252, 32784, F32, 17) (dual of [32784, 32732, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3272, 32792, F32, 23) (dual of [32792, 32720, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(3254, 32792, F32, 17) (dual of [32792, 32738, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(3280, 32800, F32, 25) (dual of [32800, 32720, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3256, 32800, F32, 17) (dual of [32800, 32744, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(3289, 32809, F32, 27) (dual of [32809, 32720, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3287, 32802, F32, 26) (dual of [32802, 32715, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(3297, 32813, F32, 29) (dual of [32813, 32716, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(3298, 32815, F32, 29) (dual of [32815, 32717, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(3299, 32819, F32, 29) (dual of [32819, 32720, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3296, 32813, F32, 28) (dual of [32813, 32717, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(3297, 32815, F32, 28) (dual of [32815, 32718, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(32107, 32827, F32, 31) (dual of [32827, 32720, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(3288, 32803, F32, 27) (dual of [32803, 32715, 28]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(3282, 32803, F32, 25) (dual of [32803, 32721, 26]-code) | [i] | ✔ | |
| 33 | Linear OOA(3249, 4096, F32, 17, 17) (dual of [(4096, 17), 69583, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |