Information on Result #618118
Linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(3247, 32801, F32, 14) (dual of [32801, 32754, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3248, 32812, F32, 14) (dual of [32812, 32764, 15]-code) | [i] | ||
| 3 | Linear OA(3249, 32814, F32, 14) (dual of [32814, 32765, 15]-code) | [i] | ||
| 4 | Linear OA(3250, 32832, F32, 14) (dual of [32832, 32782, 15]-code) | [i] | ||
| 5 | Linear OA(3251, 32862, F32, 14) (dual of [32862, 32811, 15]-code) | [i] | ||
| 6 | Linear OA(3252, 32867, F32, 14) (dual of [32867, 32815, 15]-code) | [i] | ||
| 7 | Linear OA(3250, 32834, F32, 14) (dual of [32834, 32784, 15]-code) | [i] | ||
| 8 | Linear OA(3251, 32780, F32, 14) (dual of [32780, 32729, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(3252, 32783, F32, 14) (dual of [32783, 32731, 15]-code) | [i] | ||
| 10 | Linear OA(3249, 32778, F32, 14) (dual of [32778, 32729, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3250, 32780, F32, 14) (dual of [32780, 32730, 15]-code) | [i] | ||
| 12 | Linear OA(3251, 32834, F32, 14) (dual of [32834, 32783, 15]-code) | [i] | ||
| 13 | Linear OA(3252, 32845, F32, 14) (dual of [32845, 32793, 15]-code) | [i] | ||
| 14 | Linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(3240, 32771, F32, 14) (dual of [32771, 32731, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(3247, 32775, F32, 16) (dual of [32775, 32728, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(3241, 32775, F32, 14) (dual of [32775, 32734, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(3251, 32779, F32, 17) (dual of [32779, 32728, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3242, 32779, F32, 14) (dual of [32779, 32737, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(3255, 32783, F32, 18) (dual of [32783, 32728, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(3243, 32783, F32, 14) (dual of [32783, 32740, 15]-code) | [i] | ✔ | |
| 22 | Linear OA(3259, 32787, F32, 19) (dual of [32787, 32728, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3244, 32787, F32, 14) (dual of [32787, 32743, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(3263, 32791, F32, 20) (dual of [32791, 32728, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(3245, 32791, F32, 14) (dual of [32791, 32746, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(3267, 32795, F32, 21) (dual of [32795, 32728, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(3246, 32795, F32, 14) (dual of [32795, 32749, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(3271, 32799, F32, 22) (dual of [32799, 32728, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(3276, 32804, F32, 23) (dual of [32804, 32728, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(3280, 32808, F32, 24) (dual of [32808, 32728, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(3284, 32812, F32, 25) (dual of [32812, 32728, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(3290, 32818, F32, 26) (dual of [32818, 32728, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(3294, 32822, F32, 27) (dual of [32822, 32728, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(3298, 32826, F32, 28) (dual of [32826, 32728, 29]-code) | [i] | ✔ | |
| 35 | Linear OOA(3240, 4681, F32, 14, 14) (dual of [(4681, 14), 65494, 15]-NRT-code) | [i] | OA Folding and Stacking | |