Information on Result #613664
Linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(579, 390632, F5, 12) (dual of [390632, 390553, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(580, 390635, F5, 12) (dual of [390635, 390555, 13]-code) | [i] | ||
| 3 | Linear OA(581, 390638, F5, 12) (dual of [390638, 390557, 13]-code) | [i] | ||
| 4 | Linear OA(581, 390633, F5, 13) (dual of [390633, 390552, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(573, 390633, F5, 12) (dual of [390633, 390560, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(590, 390642, F5, 14) (dual of [390642, 390552, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(576, 390644, F5, 12) (dual of [390644, 390568, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(5101, 390651, F5, 16) (dual of [390651, 390550, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(5102, 390654, F5, 16) (dual of [390654, 390552, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(577, 390651, F5, 12) (dual of [390651, 390574, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(578, 390654, F5, 12) (dual of [390654, 390576, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(5113, 390665, F5, 17) (dual of [390665, 390552, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(581, 390665, F5, 12) (dual of [390665, 390584, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(5123, 390675, F5, 18) (dual of [390675, 390552, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(5133, 390685, F5, 19) (dual of [390685, 390552, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(5112, 390664, F5, 17) (dual of [390664, 390552, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(580, 390664, F5, 12) (dual of [390664, 390584, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(5122, 390669, F5, 18) (dual of [390669, 390547, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(5122, 390671, F5, 18) (dual of [390671, 390549, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(5122, 390674, F5, 18) (dual of [390674, 390552, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(5112, 390658, F5, 17) (dual of [390658, 390546, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(5111, 390656, F5, 17) (dual of [390656, 390545, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(5104, 390658, F5, 16) (dual of [390658, 390554, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(5103, 390656, F5, 16) (dual of [390656, 390553, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(5101, 390654, F5, 15) (dual of [390654, 390553, 16]-code) | [i] | ✔ | |
| 27 | Linear OA(575, 390636, F5, 12) (dual of [390636, 390561, 13]-code) | [i] | ✔ | |
| 28 | Linear OA(580, 390658, F5, 12) (dual of [390658, 390578, 13]-code) | [i] | ✔ | |
| 29 | Linear OA(579, 390656, F5, 12) (dual of [390656, 390577, 13]-code) | [i] | ✔ | |
| 30 | Linear OA(590, 390643, F5, 14) (dual of [390643, 390553, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |