Information on Result #682262
Linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(573, 390633, F5, 12) (dual of [390633, 390560, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(566, 390634, F5, 11) (dual of [390634, 390568, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(566, 390642, F5, 10) (dual of [390642, 390576, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(568, 390644, F5, 11) (dual of [390644, 390576, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(592, 390652, F5, 14) (dual of [390652, 390560, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(569, 390651, F5, 11) (dual of [390651, 390582, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(570, 390654, F5, 11) (dual of [390654, 390584, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(568, 390652, F5, 10) (dual of [390652, 390584, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(5105, 390665, F5, 16) (dual of [390665, 390560, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(570, 390662, F5, 10) (dual of [390662, 390592, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(5115, 390675, F5, 17) (dual of [390675, 390560, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(5125, 390685, F5, 18) (dual of [390685, 390560, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(5104, 390664, F5, 16) (dual of [390664, 390560, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(572, 390664, F5, 11) (dual of [390664, 390592, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(5114, 390669, F5, 17) (dual of [390669, 390555, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(5114, 390671, F5, 17) (dual of [390671, 390557, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(5114, 390674, F5, 17) (dual of [390674, 390560, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(5134, 390688, F5, 19) (dual of [390688, 390554, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(5104, 390658, F5, 16) (dual of [390658, 390554, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(5103, 390656, F5, 16) (dual of [390656, 390553, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(5101, 390654, F5, 15) (dual of [390654, 390553, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(596, 390659, F5, 14) (dual of [390659, 390563, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(595, 390657, F5, 14) (dual of [390657, 390562, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(594, 390655, F5, 14) (dual of [390655, 390561, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(575, 390636, F5, 12) (dual of [390636, 390561, 13]-code) | [i] | ✔ | |
| 26 | Linear OA(567, 390636, F5, 11) (dual of [390636, 390569, 12]-code) | [i] | ✔ | |
| 27 | Linear OA(572, 390658, F5, 11) (dual of [390658, 390586, 12]-code) | [i] | ✔ | |
| 28 | Linear OA(571, 390656, F5, 11) (dual of [390656, 390585, 12]-code) | [i] | ✔ | |
| 29 | Linear OA(569, 390654, F5, 10) (dual of [390654, 390585, 11]-code) | [i] | ✔ | |
| 30 | Linear OA(566, 390643, F5, 10) (dual of [390643, 390577, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 31 | Linear OOA(565, 130208, F5, 3, 11) (dual of [(130208, 3), 390559, 12]-NRT-code) | [i] | OOA Folding | |