Information on Result #604913
Linear OA(515, 16, F5, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,5)), using dual of repetition code with length 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.
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(515, 16, F5, 14) (dual of [16, 1, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5110, 641, F5, 31) (dual of [641, 531, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(547, 343, F5, 15) (dual of [343, 296, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(554, 758, F5, 15) (dual of [758, 704, 16]-code) | [i] | ||
| 5 | Linear OA(556, 952, F5, 15) (dual of [952, 896, 16]-code) | [i] | ||
| 6 | Linear OA(5136, 3142, F5, 31) (dual of [3142, 3006, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(5112, 329, F5, 33) (dual of [329, 217, 34]-code) | [i] | ||
| 8 | Linear OA(586, 78142, F5, 15) (dual of [78142, 78056, 16]-code) | [i] | Construction X4 with Cyclic Codes | |
| 9 | Linear OA(572, 78142, F5, 13) (dual of [78142, 78070, 14]-code) | [i] | ||
| 10 | Linear OA(530, 78142, F5, 5) (dual of [78142, 78112, 6]-code) | [i] | ||
| 11 | Linear OA(579, 78141, F5, 14) (dual of [78141, 78062, 15]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(558, 78141, F5, 10) (dual of [78141, 78083, 11]-code) | [i] | ||
| 13 | Linear OA(551, 78141, F5, 9) (dual of [78141, 78090, 10]-code) | [i] | ||
| 14 | Linear OA(544, 78141, F5, 8) (dual of [78141, 78097, 9]-code) | [i] | ||
| 15 | Linear OA(523, 78141, F5, 4) (dual of [78141, 78118, 5]-code) | [i] | ||