Information on Result #604643
Linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using dual of repetition code with length 7
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(443, 263, F4, 13) (dual of [263, 220, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(452, 1031, F4, 13) (dual of [1031, 979, 14]-code) | [i] | ||
| 3 | Linear OA(461, 4103, F4, 13) (dual of [4103, 4042, 14]-code) | [i] | ||
| 4 | Linear OA(470, 16391, F4, 13) (dual of [16391, 16321, 14]-code) | [i] | ||
| 5 | Linear OA(479, 65543, F4, 13) (dual of [65543, 65464, 14]-code) | [i] | ||
| 6 | Linear OA(488, 262151, F4, 13) (dual of [262151, 262063, 14]-code) | [i] | ||
| 7 | Linear OA(497, 1048583, F4, 13) (dual of [1048583, 1048486, 14]-code) | [i] | ||
| 8 | Linear OA(4106, 4194311, F4, 13) (dual of [4194311, 4194205, 14]-code) | [i] | ||
| 9 | Linear OA(4103, 4109, F4, 20) (dual of [4109, 4006, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(4118, 16397, F4, 20) (dual of [16397, 16279, 21]-code) | [i] | ||
| 11 | Linear OA(4133, 65549, F4, 20) (dual of [65549, 65416, 21]-code) | [i] | ||
| 12 | Linear OA(4148, 262157, F4, 20) (dual of [262157, 262009, 21]-code) | [i] | ||
| 13 | Linear OA(4163, 1048589, F4, 20) (dual of [1048589, 1048426, 21]-code) | [i] | ||
| 14 | Linear OA(4178, 4194317, F4, 20) (dual of [4194317, 4194139, 21]-code) | [i] | ||
| 15 | Linear OA(443, 72, F4, 17) (dual of [72, 29, 18]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(477, 136, F4, 20) (dual of [136, 59, 21]-code) | [i] | ||
| 17 | Linear OA(497, 520, F4, 20) (dual of [520, 423, 21]-code) | [i] | ||
| 18 | Linear OA(4117, 2056, F4, 20) (dual of [2056, 1939, 21]-code) | [i] | ||
| 19 | Linear OA(4137, 8200, F4, 20) (dual of [8200, 8063, 21]-code) | [i] | ||
| 20 | Linear OA(4157, 32776, F4, 20) (dual of [32776, 32619, 21]-code) | [i] | ||
| 21 | Linear OA(4177, 131080, F4, 20) (dual of [131080, 130903, 21]-code) | [i] | ||
| 22 | Linear OA(4197, 524296, F4, 20) (dual of [524296, 524099, 21]-code) | [i] | ||
| 23 | Linear OA(4217, 2097160, F4, 20) (dual of [2097160, 2096943, 21]-code) | [i] | ||
| 24 | Linear OA(497, 112, F4, 41) (dual of [112, 15, 42]-code) | [i] | ||
| 25 | Linear OA(498, 112, F4, 48) (dual of [112, 14, 49]-code) | [i] | ||
| 26 | Linear OA(4100, 112, F4, 51) (dual of [112, 12, 52]-code) | [i] | ||
| 27 | Linear OA(4103, 112, F4, 55) (dual of [112, 9, 56]-code) | [i] | ||
| 28 | Linear OA(4105, 112, F4, 56) (dual of [112, 7, 57]-code) | [i] | ||
| 29 | Linear OA(4232, 282, F4, 56) (dual of [282, 50, 57]-code) | [i] | ||
| 30 | Linear OA(487, 92, F4, 63) (dual of [92, 5, 64]-code) | [i] | ||
| 31 | Linear OA(4218, 224, F4, 111) (dual of [224, 6, 112]-code) | [i] | ||
| 32 | Linear OA(418, 262, F4, 6) (dual of [262, 244, 7]-code) | [i] | Construction X4 with Cyclic Codes | |
| 33 | Linear OA(417, 1031, F4, 5) (dual of [1031, 1014, 6]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |