Information on Result #608008
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(517, 1233, F5, 5) (dual of [1233, 1216, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(531, 78155, F5, 5) (dual of [78155, 78124, 6]-code) | [i] | ||
| 3 | Linear OA(539, 1953155, F5, 5) (dual of [1953155, 1953116, 6]-code) | [i] | ||
| 4 | Linear OA(520, 130, F5, 7) (dual of [130, 110, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(518, 1264, F5, 5) (dual of [1264, 1246, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(5144, 78157, F5, 24) (dual of [78157, 78013, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(588, 78157, F5, 14) (dual of [78157, 78069, 15]-code) | [i] | ||
| 8 | Linear OA(5148, 15653, F5, 28) (dual of [15653, 15505, 29]-code) | [i] | ||
| 9 | Linear OA(5136, 15653, F5, 26) (dual of [15653, 15517, 27]-code) | [i] | ||
| 10 | Linear OA(5124, 15653, F5, 24) (dual of [15653, 15529, 25]-code) | [i] | ||
| 11 | Linear OA(576, 15653, F5, 14) (dual of [15653, 15577, 15]-code) | [i] | ||
| 12 | Linear OA(5150, 3158, F5, 34) (dual of [3158, 3008, 35]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 13 | Linear OA(5128, 3156, F5, 28) (dual of [3156, 3028, 29]-code) | [i] | ||
| 14 | Linear OA(5118, 3156, F5, 26) (dual of [3156, 3038, 27]-code) | [i] | ||
| 15 | Linear OA(5112, 3161, F5, 24) (dual of [3161, 3049, 25]-code) | [i] | ||
| 16 | Linear OA(5110, 3158, F5, 24) (dual of [3158, 3048, 25]-code) | [i] | ||
| 17 | Linear OA(5148, 1953155, F5, 20) (dual of [1953155, 1953007, 21]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(5139, 1953155, F5, 19) (dual of [1953155, 1953016, 20]-code) | [i] | ||
| 19 | Linear OA(5112, 1953155, F5, 15) (dual of [1953155, 1953043, 16]-code) | [i] | ||
| 20 | Linear OA(5103, 1953155, F5, 14) (dual of [1953155, 1953052, 15]-code) | [i] | ||
| 21 | Linear OA(576, 1953155, F5, 10) (dual of [1953155, 1953079, 11]-code) | [i] | ||
| 22 | Linear OA(567, 1953155, F5, 9) (dual of [1953155, 1953088, 10]-code) | [i] | ||
| 23 | Linear OA(5132, 390652, F5, 20) (dual of [390652, 390520, 21]-code) | [i] | ||
| 24 | Linear OA(5124, 390652, F5, 19) (dual of [390652, 390528, 20]-code) | [i] | ||
| 25 | Linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code) | [i] | ||
| 26 | Linear OA(592, 390652, F5, 14) (dual of [390652, 390560, 15]-code) | [i] | ||
| 27 | Linear OA(568, 390652, F5, 10) (dual of [390652, 390584, 11]-code) | [i] | ||
| 28 | Linear OA(560, 390652, F5, 9) (dual of [390652, 390592, 10]-code) | [i] | ||
| 29 | Linear OA(5133, 390654, F5, 20) (dual of [390654, 390521, 21]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(5128, 390659, F5, 19) (dual of [390659, 390531, 20]-code) | [i] | ||
| 31 | Linear OA(5127, 390657, F5, 19) (dual of [390657, 390530, 20]-code) | [i] | ||
| 32 | Linear OA(5126, 390655, F5, 19) (dual of [390655, 390529, 20]-code) | [i] | ||
| 33 | Linear OA(5101, 390654, F5, 15) (dual of [390654, 390553, 16]-code) | [i] | ||
| 34 | Linear OA(596, 390659, F5, 14) (dual of [390659, 390563, 15]-code) | [i] | ||
| 35 | Linear OA(595, 390657, F5, 14) (dual of [390657, 390562, 15]-code) | [i] | ||
| 36 | Linear OA(594, 390655, F5, 14) (dual of [390655, 390561, 15]-code) | [i] | ||
| 37 | Linear OA(569, 390654, F5, 10) (dual of [390654, 390585, 11]-code) | [i] | ||
| 38 | Linear OA(563, 390657, F5, 9) (dual of [390657, 390594, 10]-code) | [i] | ||
| 39 | Linear OA(562, 390655, F5, 9) (dual of [390655, 390593, 10]-code) | [i] | ||
| 40 | Linear OA(5141, 78156, F5, 24) (dual of [78156, 78015, 25]-code) | [i] | ||
| 41 | Linear OA(5140, 78154, F5, 24) (dual of [78154, 78014, 25]-code) | [i] | ||
| 42 | Linear OA(5139, 78152, F5, 24) (dual of [78152, 78013, 25]-code) | [i] | ||
| 43 | Linear OA(5113, 78156, F5, 19) (dual of [78156, 78043, 20]-code) | [i] | ||
| 44 | Linear OA(5112, 78154, F5, 19) (dual of [78154, 78042, 20]-code) | [i] | ||
| 45 | Linear OA(5111, 78152, F5, 19) (dual of [78152, 78041, 20]-code) | [i] | ||
| 46 | Linear OA(585, 78156, F5, 14) (dual of [78156, 78071, 15]-code) | [i] | ||
| 47 | Linear OA(584, 78154, F5, 14) (dual of [78154, 78070, 15]-code) | [i] | ||
| 48 | Linear OA(583, 78152, F5, 14) (dual of [78152, 78069, 15]-code) | [i] | ||
| 49 | Linear OA(556, 78154, F5, 9) (dual of [78154, 78098, 10]-code) | [i] | ||
| 50 | Linear OA(555, 78152, F5, 9) (dual of [78152, 78097, 10]-code) | [i] | ||
| 51 | Linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code) | [i] | Appending kth Column | |