Information on Result #604649
Linear OA(412, 13, F4, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,4)), using dual of repetition code with length 13
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(412, 13, F4, 11) (dual of [13, 1, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(483, 269, F4, 25) (dual of [269, 186, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4194, 4122, F4, 38) (dual of [4122, 3928, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(4222, 16410, F4, 38) (dual of [16410, 16188, 39]-code) | [i] | ||
| 5 | Linear OA(4250, 65562, F4, 38) (dual of [65562, 65312, 39]-code) | [i] | ||
| 6 | Linear OA(4188, 4122, F4, 37) (dual of [4122, 3934, 38]-code) | [i] | ||
| 7 | Linear OA(4215, 16410, F4, 37) (dual of [16410, 16195, 38]-code) | [i] | ||
| 8 | Linear OA(4242, 65562, F4, 37) (dual of [65562, 65320, 38]-code) | [i] | ||
| 9 | Linear OA(443, 375, F4, 12) (dual of [375, 332, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(467, 78, F4, 25) (dual of [78, 11, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(4121, 4110, F4, 25) (dual of [4110, 3989, 26]-code) | [i] | ||
| 12 | Linear OA(4139, 16398, F4, 25) (dual of [16398, 16259, 26]-code) | [i] | ||
| 13 | Linear OA(4157, 65550, F4, 25) (dual of [65550, 65393, 26]-code) | [i] | ||
| 14 | Linear OA(4175, 262158, F4, 25) (dual of [262158, 261983, 26]-code) | [i] | ||
| 15 | Linear OA(4193, 1048590, F4, 25) (dual of [1048590, 1048397, 26]-code) | [i] | ||
| 16 | Linear OA(4211, 4194318, F4, 25) (dual of [4194318, 4194107, 26]-code) | [i] | ||
| 17 | Linear OA(4113, 1038, F4, 27) (dual of [1038, 925, 28]-code) | [i] | ||
| 18 | Linear OA(4133, 4110, F4, 27) (dual of [4110, 3977, 28]-code) | [i] | ||
| 19 | Linear OA(4153, 16398, F4, 27) (dual of [16398, 16245, 28]-code) | [i] | ||
| 20 | Linear OA(4173, 65550, F4, 27) (dual of [65550, 65377, 28]-code) | [i] | ||
| 21 | Linear OA(4193, 262158, F4, 27) (dual of [262158, 261965, 28]-code) | [i] | ||
| 22 | Linear OA(4213, 1048590, F4, 27) (dual of [1048590, 1048377, 28]-code) | [i] | ||
| 23 | Linear OA(4233, 4194318, F4, 27) (dual of [4194318, 4194085, 28]-code) | [i] | ||
| 24 | Linear OA(4100, 4194316, F4, 12) (dual of [4194316, 4194216, 13]-code) | [i] | Construction X4 with Cyclic Codes | |
| 25 | Linear OA(479, 4194317, F4, 10) (dual of [4194317, 4194238, 11]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 26 | Linear OA(468, 4194317, F4, 9) (dual of [4194317, 4194249, 10]-code) | [i] | ||
| 27 | Linear OA(457, 4194317, F4, 7) (dual of [4194317, 4194260, 8]-code) | [i] | ||
| 28 | Linear OA(446, 4194317, F4, 6) (dual of [4194317, 4194271, 7]-code) | [i] | ||
| 29 | Linear OA(435, 4194317, F4, 5) (dual of [4194317, 4194282, 6]-code) | [i] | ||