Information on Result #604653
Linear OA(416, 17, F4, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,4)), using dual of repetition code with length 17
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(416, 17, F4, 15) (dual of [17, 1, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(416, 17, F4, 14) (dual of [17, 1, 15]-code) | [i] | ||
| 3 | Linear OA(4256, 4130, F4, 50) (dual of [4130, 3874, 51]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(455, 353, F4, 16) (dual of [353, 298, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(469, 1267, F4, 16) (dual of [1267, 1198, 17]-code) | [i] | ||
| 6 | Linear OA(470, 1389, F4, 16) (dual of [1389, 1319, 17]-code) | [i] | ||
| 7 | Linear OA(4161, 4114, F4, 33) (dual of [4114, 3953, 34]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(4185, 16402, F4, 33) (dual of [16402, 16217, 34]-code) | [i] | ||
| 9 | Linear OA(4209, 65554, F4, 33) (dual of [65554, 65345, 34]-code) | [i] | ||
| 10 | Linear OA(4233, 262162, F4, 33) (dual of [262162, 261929, 34]-code) | [i] | ||
| 11 | Linear OA(4257, 1048594, F4, 33) (dual of [1048594, 1048337, 34]-code) | [i] | ||
| 12 | Linear OA(4113, 274, F4, 35) (dual of [274, 161, 36]-code) | [i] | ||
| 13 | Linear OA(4147, 1042, F4, 35) (dual of [1042, 895, 36]-code) | [i] | ||
| 14 | Linear OA(4173, 4114, F4, 35) (dual of [4114, 3941, 36]-code) | [i] | ||
| 15 | Linear OA(4199, 16402, F4, 35) (dual of [16402, 16203, 36]-code) | [i] | ||
| 16 | Linear OA(4225, 65554, F4, 35) (dual of [65554, 65329, 36]-code) | [i] | ||
| 17 | Linear OA(4251, 262162, F4, 35) (dual of [262162, 261911, 36]-code) | [i] | ||
| 18 | Linear OA(462, 1041, F4, 15) (dual of [1041, 979, 16]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(452, 1041, F4, 12) (dual of [1041, 989, 13]-code) | [i] | ||
| 20 | Linear OA(4236, 253, F4, 149) (dual of [253, 17, 150]-code) | [i] | Construction X with Varšamov Bound | |
| 21 | Linear OA(4237, 254, F4, 150) (dual of [254, 17, 151]-code) | [i] | ||
| 22 | Linear OA(4238, 255, F4, 151) (dual of [255, 17, 152]-code) | [i] | ||