Information on Result #618139
Linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(3254, 32801, F32, 16) (dual of [32801, 32747, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3255, 32812, F32, 16) (dual of [32812, 32757, 17]-code) | [i] | ||
| 3 | Linear OA(3256, 32814, F32, 16) (dual of [32814, 32758, 17]-code) | [i] | ||
| 4 | Linear OA(3257, 32832, F32, 16) (dual of [32832, 32775, 17]-code) | [i] | ||
| 5 | Linear OA(3258, 32834, F32, 16) (dual of [32834, 32776, 17]-code) | [i] | ||
| 6 | Linear OA(3259, 32862, F32, 16) (dual of [32862, 32803, 17]-code) | [i] | ||
| 7 | Linear OA(3260, 32867, F32, 16) (dual of [32867, 32807, 17]-code) | [i] | ||
| 8 | Linear OA(3260, 32783, F32, 16) (dual of [32783, 32723, 17]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(3257, 32780, F32, 16) (dual of [32780, 32723, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(3258, 32782, F32, 16) (dual of [32782, 32724, 17]-code) | [i] | ||
| 11 | Linear OA(3259, 32834, F32, 16) (dual of [32834, 32775, 17]-code) | [i] | ||
| 12 | Linear OA(3260, 32845, F32, 16) (dual of [32845, 32785, 17]-code) | [i] | ||
| 13 | Linear OA(3249, 32771, F32, 17) (dual of [32771, 32722, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(3246, 32771, F32, 16) (dual of [32771, 32725, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(3253, 32775, F32, 18) (dual of [32775, 32722, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(3247, 32775, F32, 16) (dual of [32775, 32728, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(3257, 32779, F32, 19) (dual of [32779, 32722, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(3248, 32779, F32, 16) (dual of [32779, 32731, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(3261, 32783, F32, 20) (dual of [32783, 32722, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(3249, 32783, F32, 16) (dual of [32783, 32734, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(3265, 32787, F32, 21) (dual of [32787, 32722, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(3250, 32787, F32, 16) (dual of [32787, 32737, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(3269, 32791, F32, 22) (dual of [32791, 32722, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(3251, 32791, F32, 16) (dual of [32791, 32740, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(3273, 32795, F32, 23) (dual of [32795, 32722, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(3252, 32795, F32, 16) (dual of [32795, 32743, 17]-code) | [i] | ✔ | |
| 27 | Linear OA(3277, 32799, F32, 24) (dual of [32799, 32722, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(3253, 32799, F32, 16) (dual of [32799, 32746, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(3282, 32804, F32, 25) (dual of [32804, 32722, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(3286, 32808, F32, 26) (dual of [32808, 32722, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(3290, 32812, F32, 27) (dual of [32812, 32722, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(3296, 32818, F32, 28) (dual of [32818, 32722, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(32100, 32822, F32, 29) (dual of [32822, 32722, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(32104, 32826, F32, 30) (dual of [32826, 32722, 31]-code) | [i] | ✔ | |
| 35 | Linear OA(32108, 32830, F32, 31) (dual of [32830, 32722, 32]-code) | [i] | ✔ | |
| 36 | Linear OOA(3246, 4096, F32, 16, 16) (dual of [(4096, 16), 65490, 17]-NRT-code) | [i] | OA Folding and Stacking | |