Information on Result #604648
Linear OA(411, 12, F4, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,4)), using dual of repetition code with length 12
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(411, 12, F4, 10) (dual of [12, 1, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4114, 4108, F4, 23) (dual of [4108, 3994, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4131, 16396, F4, 23) (dual of [16396, 16265, 24]-code) | [i] | ||
| 4 | Linear OA(4148, 65548, F4, 23) (dual of [65548, 65400, 24]-code) | [i] | ||
| 5 | Linear OA(4165, 262156, F4, 23) (dual of [262156, 261991, 24]-code) | [i] | ||
| 6 | Linear OA(4182, 1048588, F4, 23) (dual of [1048588, 1048406, 24]-code) | [i] | ||
| 7 | Linear OA(4199, 4194316, F4, 23) (dual of [4194316, 4194117, 24]-code) | [i] | ||
| 8 | Linear OA(449, 77, F4, 22) (dual of [77, 28, 23]-code) | [i] | ||
| 9 | Linear OA(474, 268, F4, 22) (dual of [268, 194, 23]-code) | [i] | ||
| 10 | Linear OA(4108, 4108, F4, 22) (dual of [4108, 4000, 23]-code) | [i] | ||
| 11 | Linear OA(4124, 16396, F4, 22) (dual of [16396, 16272, 23]-code) | [i] | ||
| 12 | Linear OA(4140, 65548, F4, 22) (dual of [65548, 65408, 23]-code) | [i] | ||
| 13 | Linear OA(4156, 262156, F4, 22) (dual of [262156, 262000, 23]-code) | [i] | ||
| 14 | Linear OA(4172, 1048588, F4, 22) (dual of [1048588, 1048416, 23]-code) | [i] | ||
| 15 | Linear OA(4188, 4194316, F4, 22) (dual of [4194316, 4194128, 23]-code) | [i] | ||
| 16 | Linear OA(4174, 4120, F4, 34) (dual of [4120, 3946, 35]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(4199, 16408, F4, 34) (dual of [16408, 16209, 35]-code) | [i] | ||
| 18 | Linear OA(4224, 65560, F4, 34) (dual of [65560, 65336, 35]-code) | [i] | ||
| 19 | Linear OA(4249, 262168, F4, 34) (dual of [262168, 261919, 35]-code) | [i] | ||
| 20 | Linear OA(430, 102, F4, 11) (dual of [102, 72, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 21 | Linear OA(4102, 1037, F4, 25) (dual of [1037, 935, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(4131, 141, F4, 54) (dual of [141, 10, 55]-code) | [i] | ||
| 23 | Linear OA(465, 262155, F4, 10) (dual of [262155, 262090, 11]-code) | [i] | Construction X4 with Cyclic Codes | |
| 24 | Linear OA(442, 1037, F4, 11) (dual of [1037, 995, 12]-code) | [i] | ||
| 25 | Linear OA(4260, 268, F4, 187) (dual of [268, 8, 188]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 26 | Linear OA(472, 1048588, F4, 10) (dual of [1048588, 1048516, 11]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 27 | Linear OA(462, 1048588, F4, 9) (dual of [1048588, 1048526, 10]-code) | [i] | ||
| 28 | Linear OA(452, 1048588, F4, 7) (dual of [1048588, 1048536, 8]-code) | [i] | ||
| 29 | Linear OA(442, 1048588, F4, 6) (dual of [1048588, 1048546, 7]-code) | [i] | ||
| 30 | Linear OA(432, 1048588, F4, 5) (dual of [1048588, 1048556, 6]-code) | [i] | ||
| 31 | Linear OA(432, 1036, F4, 8) (dual of [1036, 1004, 9]-code) | [i] | ||
| 32 | Linear OA(427, 1036, F4, 7) (dual of [1036, 1009, 8]-code) | [i] | ||
| 33 | Linear OA(490, 97, F4, 59) (dual of [97, 7, 60]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 34 | Linear OA(4105, 112, F4, 67) (dual of [112, 7, 68]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 35 | Linear OA(4103, 110, F4, 66) (dual of [110, 7, 67]-code) | [i] | ||
| 36 | Linear OA(4101, 108, F4, 65) (dual of [108, 7, 66]-code) | [i] | ||
| 37 | Linear OA(496, 103, F4, 61) (dual of [103, 7, 62]-code) | [i] | ||
| 38 | Linear OA(4218, 235, F4, 136) (dual of [235, 17, 137]-code) | [i] | Construction X with Varšamov Bound | |