Information on Result #604391
Linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using dual of repetition code with length 6
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(332, 87, F3, 11) (dual of [87, 55, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(341, 249, F3, 11) (dual of [249, 208, 12]-code) | [i] | ||
| 3 | Linear OA(348, 735, F3, 11) (dual of [735, 687, 12]-code) | [i] | ||
| 4 | Linear OA(355, 2193, F3, 11) (dual of [2193, 2138, 12]-code) | [i] | ||
| 5 | Linear OA(362, 6567, F3, 11) (dual of [6567, 6505, 12]-code) | [i] | ||
| 6 | Linear OA(369, 19689, F3, 11) (dual of [19689, 19620, 12]-code) | [i] | ||
| 7 | Linear OA(376, 59055, F3, 11) (dual of [59055, 58979, 12]-code) | [i] | ||
| 8 | Linear OA(383, 177153, F3, 11) (dual of [177153, 177070, 12]-code) | [i] | ||
| 9 | Linear OA(390, 531447, F3, 11) (dual of [531447, 531357, 12]-code) | [i] | ||
| 10 | Linear OA(397, 1594329, F3, 11) (dual of [1594329, 1594232, 12]-code) | [i] | ||
| 11 | Linear OA(3104, 4782975, F3, 11) (dual of [4782975, 4782871, 12]-code) | [i] | ||
| 12 | Linear OA(360, 19689, F3, 10) (dual of [19689, 19629, 11]-code) | [i] | ||
| 13 | Linear OA(366, 59055, F3, 10) (dual of [59055, 58989, 11]-code) | [i] | ||
| 14 | Linear OA(372, 177153, F3, 10) (dual of [177153, 177081, 11]-code) | [i] | ||
| 15 | Linear OA(378, 531447, F3, 10) (dual of [531447, 531369, 11]-code) | [i] | ||
| 16 | Linear OA(384, 1594329, F3, 10) (dual of [1594329, 1594245, 11]-code) | [i] | ||
| 17 | Linear OA(390, 4782975, F3, 10) (dual of [4782975, 4782885, 11]-code) | [i] | ||
| 18 | Linear OA(346, 250, F3, 13) (dual of [250, 204, 14]-code) | [i] | Construction X with Cyclic Codes | |
| 19 | Linear OA(354, 736, F3, 13) (dual of [736, 682, 14]-code) | [i] | ||
| 20 | Linear OA(3222, 736, F3, 57) (dual of [736, 514, 58]-code) | [i] | ||
| 21 | Linear OA(3114, 371, F3, 31) (dual of [371, 257, 32]-code) | [i] | ||
| 22 | Linear OA(378, 86, F3, 49) (dual of [86, 8, 50]-code) | [i] | ||
| 23 | Linear OA(379, 87, F3, 50) (dual of [87, 8, 51]-code) | [i] | Construction XX with Cyclic Codes | |
| 24 | Linear OA(368, 750, F3, 15) (dual of [750, 682, 16]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 25 | Linear OA(384, 92, F3, 52) (dual of [92, 8, 53]-code) | [i] | ||
| 26 | Linear OA(382, 90, F3, 51) (dual of [90, 8, 52]-code) | [i] | ||
| 27 | Linear OA(3162, 371, F3, 46) (dual of [371, 209, 47]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 28 | Linear OA(3227, 249, F3, 131) (dual of [249, 22, 132]-code) | [i] | ||
| 29 | Linear OA(3116, 128, F3, 67) (dual of [128, 12, 68]-code) | [i] | ||
| 30 | Linear OA(3250, 272, F3, 136) (dual of [272, 22, 137]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 31 | Linear OA(3250, 272, F3, 140) (dual of [272, 22, 141]-code) | [i] | ||
| 32 | Linear OA(3246, 268, F3, 137) (dual of [268, 22, 138]-code) | [i] | ||
| 33 | Linear OA(3243, 265, F3, 135) (dual of [265, 22, 136]-code) | [i] | ||
| 34 | Linear OA(3236, 258, F3, 134) (dual of [258, 22, 135]-code) | [i] | ||
| 35 | Linear OA(3234, 256, F3, 133) (dual of [256, 22, 134]-code) | [i] | ||
| 36 | Linear OA(385, 93, F3, 53) (dual of [93, 8, 54]-code) | [i] | ||
| 37 | Linear OA(383, 91, F3, 52) (dual of [91, 8, 53]-code) | [i] | ||
| 38 | Linear OA(3101, 122, F3, 50) (dual of [122, 21, 51]-code) | [i] | Construction X with Varšamov Bound | |
| 39 | Linear OA(3102, 123, F3, 51) (dual of [123, 21, 52]-code) | [i] | ||
| 40 | Linear OA(3133, 152, F3, 68) (dual of [152, 19, 69]-code) | [i] | ||
| 41 | Linear OA(3134, 153, F3, 69) (dual of [153, 19, 70]-code) | [i] | ||
| 42 | Linear OA(3147, 166, F3, 76) (dual of [166, 19, 77]-code) | [i] | ||
| 43 | Linear OA(3148, 167, F3, 77) (dual of [167, 19, 78]-code) | [i] | ||
| 44 | Linear OA(3186, 219, F3, 90) (dual of [219, 33, 91]-code) | [i] | ||
| 45 | Linear OA(3187, 220, F3, 91) (dual of [220, 33, 92]-code) | [i] | ||
| 46 | Linear OA(353, 102, F3, 22) (dual of [102, 49, 23]-code) | [i] | ||
| 47 | Linear OA(354, 103, F3, 23) (dual of [103, 49, 24]-code) | [i] | ||
| 48 | Linear OA(362, 87, F3, 29) (dual of [87, 25, 30]-code) | [i] | ||
| 49 | Linear OA(3103, 125, F3, 51) (dual of [125, 22, 52]-code) | [i] | ||
| 50 | Linear OA(3115, 137, F3, 57) (dual of [137, 22, 58]-code) | [i] | ||
| 51 | Linear OA(3116, 138, F3, 58) (dual of [138, 22, 59]-code) | [i] | ||
| 52 | Linear OA(358, 113, F3, 24) (dual of [113, 55, 25]-code) | [i] | ||
| 53 | Linear OA(388, 130, F3, 38) (dual of [130, 42, 39]-code) | [i] | ||
| 54 | Linear OA(3120, 152, F3, 56) (dual of [152, 32, 57]-code) | [i] | ||