Information on Result #604911
Linear OA(513, 14, F5, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,5)), using dual of repetition code with length 14
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(513, 14, F5, 12) (dual of [14, 1, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(596, 639, F5, 27) (dual of [639, 543, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(5119, 3139, F5, 27) (dual of [3139, 3020, 28]-code) | [i] | ||
| 4 | Linear OA(5140, 15639, F5, 27) (dual of [15639, 15499, 28]-code) | [i] | ||
| 5 | Linear OA(594, 639, F5, 26) (dual of [639, 545, 27]-code) | [i] | ||
| 6 | Linear OA(5114, 3139, F5, 26) (dual of [3139, 3025, 27]-code) | [i] | ||
| 7 | Linear OA(5134, 15639, F5, 26) (dual of [15639, 15505, 27]-code) | [i] | ||
| 8 | Linear OA(540, 289, F5, 13) (dual of [289, 249, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(547, 729, F5, 13) (dual of [729, 682, 14]-code) | [i] | ||
| 10 | Linear OA(580, 140, F5, 27) (dual of [140, 60, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(562, 15640, F5, 13) (dual of [15640, 15578, 14]-code) | [i] | Construction X4 with Cyclic Codes | |
| 12 | Linear OA(550, 15639, F5, 10) (dual of [15639, 15589, 11]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(544, 15639, F5, 9) (dual of [15639, 15595, 10]-code) | [i] | ||
| 14 | Linear OA(538, 15639, F5, 8) (dual of [15639, 15601, 9]-code) | [i] | ||