Information on Result #604650
Linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), 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(413, 14, F4, 12) (dual of [14, 1, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4128, 4110, F4, 26) (dual of [4110, 3982, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4147, 16398, F4, 26) (dual of [16398, 16251, 27]-code) | [i] | ||
| 4 | Linear OA(4166, 65550, F4, 26) (dual of [65550, 65384, 27]-code) | [i] | ||
| 5 | Linear OA(4185, 262158, F4, 26) (dual of [262158, 261973, 27]-code) | [i] | ||
| 6 | Linear OA(4204, 1048590, F4, 26) (dual of [1048590, 1048386, 27]-code) | [i] | ||
| 7 | Linear OA(4223, 4194318, F4, 26) (dual of [4194318, 4194095, 27]-code) | [i] | ||
| 8 | Linear OA(421, 28, F4, 13) (dual of [28, 7, 14]-code) | [i] | ||
| 9 | Linear OA(4202, 4124, F4, 39) (dual of [4124, 3922, 40]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(4231, 16412, F4, 39) (dual of [16412, 16181, 40]-code) | [i] | ||
| 11 | Linear OA(4260, 65564, F4, 39) (dual of [65564, 65304, 40]-code) | [i] | ||
| 12 | Linear OA(434, 96, F4, 13) (dual of [96, 62, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(435, 107, F4, 13) (dual of [107, 72, 14]-code) | [i] | ||
| 14 | Linear OA(4153, 161, F4, 76) (dual of [161, 8, 77]-code) | [i] | Construction X with Cyclic Codes | |
| 15 | Linear OA(462, 4111, F4, 13) (dual of [4111, 4049, 14]-code) | [i] | Construction X4 with Cyclic Codes | |
| 16 | Linear OA(450, 4111, F4, 11) (dual of [4111, 4061, 12]-code) | [i] | ||
| 17 | Linear OA(456, 4110, F4, 12) (dual of [4110, 4054, 13]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(438, 4110, F4, 8) (dual of [4110, 4072, 9]-code) | [i] | ||
| 19 | Linear OA(432, 4110, F4, 7) (dual of [4110, 4078, 8]-code) | [i] | ||
| 20 | Linear OA(442, 270, F4, 12) (dual of [270, 228, 13]-code) | [i] | ||