Information on Result #610822
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(428, 33, F4, 17) (dual of [33, 5, 18]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(426, 30, F4, 17) (dual of [30, 4, 18]-code) | [i] | ||
| 3 | Linear OA(439, 269, F4, 11) (dual of [269, 230, 12]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(447, 1037, F4, 11) (dual of [1037, 990, 12]-code) | [i] | ||
| 5 | Linear OA(455, 4109, F4, 11) (dual of [4109, 4054, 12]-code) | [i] | ||
| 6 | Linear OA(463, 16397, F4, 11) (dual of [16397, 16334, 12]-code) | [i] | ||
| 7 | Linear OA(471, 65549, F4, 11) (dual of [65549, 65478, 12]-code) | [i] | ||
| 8 | Linear OA(479, 262157, F4, 11) (dual of [262157, 262078, 12]-code) | [i] | ||
| 9 | Linear OA(487, 1048589, F4, 11) (dual of [1048589, 1048502, 12]-code) | [i] | ||
| 10 | Linear OA(495, 4194317, F4, 11) (dual of [4194317, 4194222, 12]-code) | [i] | ||
| 11 | Linear OA(442, 1036, F4, 10) (dual of [1036, 994, 11]-code) | [i] | ||
| 12 | Linear OA(456, 16396, F4, 10) (dual of [16396, 16340, 11]-code) | [i] | ||
| 13 | Linear OA(463, 65548, F4, 10) (dual of [65548, 65485, 11]-code) | [i] | ||
| 14 | Linear OA(470, 262156, F4, 10) (dual of [262156, 262086, 11]-code) | [i] | ||
| 15 | Linear OA(477, 1048588, F4, 10) (dual of [1048588, 1048511, 11]-code) | [i] | ||
| 16 | Linear OA(484, 4194316, F4, 10) (dual of [4194316, 4194232, 11]-code) | [i] | ||
| 17 | Linear OA(496, 102, F4, 69) (dual of [102, 6, 70]-code) | [i] | Juxtaposition | |
| 18 | Linear OA(495, 100, F4, 69) (dual of [100, 5, 70]-code) | [i] | ||
| 19 | Linear OA(423, 27, F4, 17) (dual of [27, 4, 18]-code) | [i] | ||
| 20 | Linear OA(491, 95, F4, 69) (dual of [95, 4, 70]-code) | [i] | ||
| 21 | Linear OOA(236, 24, F2, 2, 17) (dual of [(24, 2), 12, 18]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 22 | Linear OOA(256, 33, F2, 2, 29) (dual of [(33, 2), 10, 30]-NRT-code) | [i] | ||
| 23 | Linear OA(425, 30, F4, 17) (dual of [30, 5, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 24 | Linear OA(4255, 269, F4, 177) (dual of [269, 14, 178]-code) | [i] | Construction X with Cyclic Codes | |
| 25 | Linear OA(4103, 269, F4, 35) (dual of [269, 166, 36]-code) | [i] | ||
| 26 | Linear OA(462, 75, F4, 36) (dual of [75, 13, 37]-code) | [i] | ||
| 27 | Linear OA(468, 75, F4, 48) (dual of [75, 7, 49]-code) | [i] | ||
| 28 | Linear OA(466, 74, F4, 47) (dual of [74, 8, 48]-code) | [i] | ||
| 29 | Linear OA(469, 77, F4, 49) (dual of [77, 8, 50]-code) | [i] | ||
| 30 | Linear OA(426, 33, F4, 16) (dual of [33, 7, 17]-code) | [i] | ||
| 31 | Linear OA(4259, 265, F4, 193) (dual of [265, 6, 194]-code) | [i] | ||
| 32 | Linear OA(4259, 266, F4, 192) (dual of [266, 7, 193]-code) | [i] | ||
| 33 | Linear OA(462, 76, F4, 36) (dual of [76, 14, 37]-code) | [i] | Construction XX with Cyclic Codes | |
| 34 | Linear OA(4145, 269, F4, 52) (dual of [269, 124, 53]-code) | [i] | ||
| 35 | Linear OA(4150, 273, F4, 54) (dual of [273, 123, 55]-code) | [i] | ||
| 36 | Linear OA(4149, 271, F4, 54) (dual of [271, 122, 55]-code) | [i] | ||
| 37 | Linear OA(4253, 1041, F4, 70) (dual of [1041, 788, 71]-code) | [i] | ||
| 38 | Linear OA(4252, 1039, F4, 70) (dual of [1039, 787, 71]-code) | [i] | ||
| 39 | Linear OA(4258, 1045, F4, 71) (dual of [1045, 787, 72]-code) | [i] | ||
| 40 | Linear OA(4247, 1035, F4, 69) (dual of [1035, 788, 70]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 41 | Linear OA(4247, 1036, F4, 68) (dual of [1036, 789, 69]-code) | [i] | ||
| 42 | Linear OA(4255, 266, F4, 181) (dual of [266, 11, 182]-code) | [i] | ||
| 43 | Linear OA(4145, 268, F4, 53) (dual of [268, 123, 54]-code) | [i] | ||
| 44 | Linear OA(4199, 208, F4, 137) (dual of [208, 9, 138]-code) | [i] | ||
| 45 | Linear OA(4192, 200, F4, 132) (dual of [200, 8, 133]-code) | [i] | ||
| 46 | Linear OA(443, 76, F4, 20) (dual of [76, 33, 21]-code) | [i] | ||
| 47 | Linear OA(4248, 1037, F4, 69) (dual of [1037, 789, 70]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 48 | Linear OA(4260, 273, F4, 181) (dual of [273, 13, 182]-code) | [i] | ||
| 49 | Linear OA(4259, 271, F4, 181) (dual of [271, 12, 182]-code) | [i] | ||
| 50 | Linear OA(4195, 203, F4, 135) (dual of [203, 8, 136]-code) | [i] | ||
| 51 | Linear OA(444, 75, F4, 21) (dual of [75, 31, 22]-code) | [i] | ||
| 52 | Linear OA(489, 95, F4, 65) (dual of [95, 6, 66]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 53 | Linear OA(485, 95, F4, 53) (dual of [95, 10, 54]-code) | [i] | ||
| 54 | Linear OA(4104, 112, F4, 65) (dual of [112, 8, 66]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 55 | Linear OA(4101, 108, F4, 65) (dual of [108, 7, 66]-code) | [i] | ||
| 56 | Linear OA(4185, 270, F4, 85) (dual of [270, 85, 86]-code) | [i] | Construction X with Varšamov Bound | |
| 57 | Linear OA(4186, 271, F4, 86) (dual of [271, 85, 87]-code) | [i] | ||
| 58 | Linear OOA(46, 6, F4, 2, 5) (dual of [(6, 2), 6, 6]-NRT-code) | [i] | OOA Folding | |