Information on Result #604655
Linear OA(418, 19, F4, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,4)), using dual of repetition code with length 19
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(418, 19, F4, 17) (dual of [19, 1, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(418, 19, F4, 16) (dual of [19, 1, 17]-code) | [i] | ||
| 3 | Linear OA(4119, 275, F4, 37) (dual of [275, 156, 38]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(4154, 1043, F4, 37) (dual of [1043, 889, 38]-code) | [i] | ||
| 5 | Linear OA(4181, 4115, F4, 37) (dual of [4115, 3934, 38]-code) | [i] | ||
| 6 | Linear OA(4208, 16403, F4, 37) (dual of [16403, 16195, 38]-code) | [i] | ||
| 7 | Linear OA(4235, 65555, F4, 37) (dual of [65555, 65320, 38]-code) | [i] | ||
| 8 | Linear OA(478, 1393, F4, 18) (dual of [1393, 1315, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(4253, 532, F4, 56) (dual of [532, 279, 57]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(4244, 261, F4, 155) (dual of [261, 17, 156]-code) | [i] | Construction X with Varšamov Bound | |
| 11 | Linear OA(4245, 262, F4, 156) (dual of [262, 17, 157]-code) | [i] | ||
| 12 | Linear OA(4246, 263, F4, 157) (dual of [263, 17, 158]-code) | [i] | ||