Information on Result #604399
Linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), 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(313, 14, F3, 12) (dual of [14, 1, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(313, 14, F3, 11) (dual of [14, 1, 12]-code) | [i] | ||
| 3 | Linear OA(399, 257, F3, 26) (dual of [257, 158, 27]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3116, 743, F3, 26) (dual of [743, 627, 27]-code) | [i] | ||
| 5 | Linear OA(3133, 2201, F3, 26) (dual of [2201, 2068, 27]-code) | [i] | ||
| 6 | Linear OA(3150, 6575, F3, 26) (dual of [6575, 6425, 27]-code) | [i] | ||
| 7 | Linear OA(3167, 19697, F3, 26) (dual of [19697, 19530, 27]-code) | [i] | ||
| 8 | Linear OA(3184, 59063, F3, 26) (dual of [59063, 58879, 27]-code) | [i] | ||
| 9 | Linear OA(3201, 177161, F3, 26) (dual of [177161, 176960, 27]-code) | [i] | ||
| 10 | Linear OA(3218, 531455, F3, 26) (dual of [531455, 531237, 27]-code) | [i] | ||
| 11 | Linear OA(3235, 1594337, F3, 26) (dual of [1594337, 1594102, 27]-code) | [i] | ||
| 12 | Linear OA(367, 122, F3, 26) (dual of [122, 55, 27]-code) | [i] | ||
| 13 | Linear OA(3187, 757, F3, 41) (dual of [757, 570, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(3181, 757, F3, 40) (dual of [757, 576, 41]-code) | [i] | ||
| 15 | Linear OA(3104, 258, F3, 27) (dual of [258, 154, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(3122, 744, F3, 27) (dual of [744, 622, 28]-code) | [i] | ||
| 17 | Linear OA(3140, 2202, F3, 27) (dual of [2202, 2062, 28]-code) | [i] | ||
| 18 | Linear OA(3158, 6576, F3, 27) (dual of [6576, 6418, 28]-code) | [i] | ||
| 19 | Linear OA(3176, 19698, F3, 27) (dual of [19698, 19522, 28]-code) | [i] | ||
| 20 | Linear OA(3194, 59064, F3, 27) (dual of [59064, 58870, 28]-code) | [i] | ||
| 21 | Linear OA(3212, 177162, F3, 27) (dual of [177162, 176950, 28]-code) | [i] | ||
| 22 | Linear OA(3230, 531456, F3, 27) (dual of [531456, 531226, 28]-code) | [i] | ||
| 23 | Linear OA(3248, 1594338, F3, 27) (dual of [1594338, 1594090, 28]-code) | [i] | ||
| 24 | Linear OA(3104, 136, F3, 33) (dual of [136, 32, 34]-code) | [i] | ||
| 25 | Linear OA(3114, 136, F3, 37) (dual of [136, 22, 38]-code) | [i] | ||
| 26 | Linear OA(3176, 183, F3, 65) (dual of [183, 7, 66]-code) | [i] | ||
| 27 | Linear OA(338, 744, F3, 9) (dual of [744, 706, 10]-code) | [i] | Construction X4 with Cyclic Codes | |
| 28 | Linear OA(378, 95, F3, 40) (dual of [95, 17, 41]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 29 | Linear OA(380, 97, F3, 41) (dual of [97, 17, 42]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(398, 531455, F3, 13) (dual of [531455, 531357, 14]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 31 | Linear OA(386, 531455, F3, 11) (dual of [531455, 531369, 12]-code) | [i] | ||
| 32 | Linear OA(374, 531455, F3, 10) (dual of [531455, 531381, 11]-code) | [i] | ||
| 33 | Linear OA(362, 531455, F3, 8) (dual of [531455, 531393, 9]-code) | [i] | ||
| 34 | Linear OA(350, 531455, F3, 7) (dual of [531455, 531405, 8]-code) | [i] | ||
| 35 | Linear OA(338, 531455, F3, 5) (dual of [531455, 531417, 6]-code) | [i] | ||
| 36 | Linear OA(350, 743, F3, 12) (dual of [743, 693, 13]-code) | [i] | ||
| 37 | Linear OA(326, 743, F3, 6) (dual of [743, 717, 7]-code) | [i] | ||
| 38 | Linear OA(3211, 244, F3, 107) (dual of [244, 33, 108]-code) | [i] | Construction X with Varšamov Bound | |
| 39 | Linear OA(3212, 245, F3, 108) (dual of [245, 33, 109]-code) | [i] | ||