Information on Result #604642
Linear OA(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), 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(434, 262, F4, 10) (dual of [262, 228, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(441, 1030, F4, 10) (dual of [1030, 989, 11]-code) | [i] | ||
| 3 | Linear OA(448, 4102, F4, 10) (dual of [4102, 4054, 11]-code) | [i] | ||
| 4 | Linear OA(455, 16390, F4, 10) (dual of [16390, 16335, 11]-code) | [i] | ||
| 5 | Linear OA(462, 65542, F4, 10) (dual of [65542, 65480, 11]-code) | [i] | ||
| 6 | Linear OA(469, 262150, F4, 10) (dual of [262150, 262081, 11]-code) | [i] | ||
| 7 | Linear OA(476, 1048582, F4, 10) (dual of [1048582, 1048506, 11]-code) | [i] | ||
| 8 | Linear OA(483, 4194310, F4, 10) (dual of [4194310, 4194227, 11]-code) | [i] | ||
| 9 | Linear OA(4121, 127, F4, 49) (dual of [127, 6, 50]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(4228, 279, F4, 96) (dual of [279, 51, 97]-code) | [i] | ||
| 11 | Linear OA(4102, 263, F4, 35) (dual of [263, 161, 36]-code) | [i] | ||
| 12 | Linear OA(4129, 290, F4, 41) (dual of [290, 161, 42]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 13 | Linear OA(4126, 287, F4, 40) (dual of [287, 161, 41]-code) | [i] | ||
| 14 | Linear OA(4124, 285, F4, 39) (dual of [285, 161, 40]-code) | [i] | ||
| 15 | Linear OA(4122, 283, F4, 38) (dual of [283, 161, 39]-code) | [i] | ||
| 16 | Linear OA(4112, 273, F4, 37) (dual of [273, 161, 38]-code) | [i] | ||
| 17 | Linear OA(4246, 1030, F4, 69) (dual of [1030, 784, 70]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(442, 70, F4, 21) (dual of [70, 28, 22]-code) | [i] | ||
| 19 | Linear OA(4258, 1042, F4, 71) (dual of [1042, 784, 72]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(4252, 1036, F4, 70) (dual of [1036, 784, 71]-code) | [i] | ||
| 21 | Linear OA(456, 84, F4, 26) (dual of [84, 28, 27]-code) | [i] | ||
| 22 | Linear OA(454, 82, F4, 25) (dual of [82, 28, 26]-code) | [i] | ||
| 23 | Linear OA(448, 76, F4, 23) (dual of [76, 28, 24]-code) | [i] | ||
| 24 | Linear OA(444, 72, F4, 22) (dual of [72, 28, 23]-code) | [i] | ||
| 25 | Linear OA(4182, 264, F4, 86) (dual of [264, 82, 87]-code) | [i] | Construction X with Varšamov Bound | |