Information on Result #616410
Linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(16123, 1048593, F16, 24) (dual of [1048593, 1048470, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16124, 1048600, F16, 24) (dual of [1048600, 1048476, 25]-code) | [i] | ||
| 3 | Linear OA(16125, 1048609, F16, 24) (dual of [1048609, 1048484, 25]-code) | [i] | ||
| 4 | Linear OA(16126, 1048614, F16, 24) (dual of [1048614, 1048488, 25]-code) | [i] | ||
| 5 | Linear OA(16127, 1048621, F16, 24) (dual of [1048621, 1048494, 25]-code) | [i] | ||
| 6 | Linear OA(16128, 1048625, F16, 24) (dual of [1048625, 1048497, 25]-code) | [i] | ||
| 7 | Linear OA(16129, 1048641, F16, 24) (dual of [1048641, 1048512, 25]-code) | [i] | ||
| 8 | Linear OA(16130, 1048643, F16, 24) (dual of [1048643, 1048513, 25]-code) | [i] | ||
| 9 | Linear OA(16130, 1048596, F16, 24) (dual of [1048596, 1048466, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OOA(16111, 632927, F16, 2, 24) (dual of [(632927, 2), 1265743, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 11 | Digital (87, 111, 632927)-net over F16 | [i] | ||
| 12 | Linear OA(16128, 1048594, F16, 24) (dual of [1048594, 1048466, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(16129, 1048596, F16, 24) (dual of [1048596, 1048467, 25]-code) | [i] | ||
| 14 | Linear OA(16130, 1048598, F16, 24) (dual of [1048598, 1048468, 25]-code) | [i] | ||
| 15 | Linear OA(16116, 1048581, F16, 25) (dual of [1048581, 1048465, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(16111, 1048581, F16, 24) (dual of [1048581, 1048470, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(16122, 1048587, F16, 26) (dual of [1048587, 1048465, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(16112, 1048587, F16, 24) (dual of [1048587, 1048475, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(16128, 1048593, F16, 27) (dual of [1048593, 1048465, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(16113, 1048593, F16, 24) (dual of [1048593, 1048480, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(16115, 1048600, F16, 24) (dual of [1048600, 1048485, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(16117, 1048607, F16, 24) (dual of [1048607, 1048490, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(16118, 1048613, F16, 24) (dual of [1048613, 1048495, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(16121, 1048621, F16, 24) (dual of [1048621, 1048500, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(16124, 1048627, F16, 24) (dual of [1048627, 1048503, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(16125, 1048630, F16, 24) (dual of [1048630, 1048505, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(16126, 1048636, F16, 24) (dual of [1048636, 1048510, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(16127, 1048641, F16, 24) (dual of [1048641, 1048514, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(16128, 1048643, F16, 24) (dual of [1048643, 1048515, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(16130, 1048650, F16, 24) (dual of [1048650, 1048520, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(16124, 1048629, F16, 24) (dual of [1048629, 1048505, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(16116, 1048602, F16, 24) (dual of [1048602, 1048486, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OOA(16111, 87381, F16, 24, 24) (dual of [(87381, 24), 2097033, 25]-NRT-code) | [i] | OA Folding and Stacking | |