Information on Result #604143
Linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), 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(218, 19, F2, 17) (dual of [19, 1, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(218, 19, F2, 16) (dual of [19, 1, 17]-code) | [i] | ||
| 3 | Linear OA(218, 19, F2, 15) (dual of [19, 1, 16]-code) | [i] | ||
| 4 | Linear OA(218, 19, F2, 14) (dual of [19, 1, 15]-code) | [i] | ||
| 5 | Linear OA(218, 19, F2, 13) (dual of [19, 1, 14]-code) | [i] | ||
| 6 | Linear OA(2143, 275, F2, 37) (dual of [275, 132, 38]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(2172, 531, F2, 37) (dual of [531, 359, 38]-code) | [i] | ||
| 8 | Linear OA(2194, 1043, F2, 37) (dual of [1043, 849, 38]-code) | [i] | ||
| 9 | Linear OA(2217, 2068, F2, 37) (dual of [2068, 1851, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(2235, 4116, F2, 37) (dual of [4116, 3881, 38]-code) | [i] | ||
| 11 | Linear OA(2253, 8212, F2, 37) (dual of [8212, 7959, 38]-code) | [i] | ||
| 12 | Linear OA(2163, 276, F2, 41) (dual of [276, 113, 42]-code) | [i] | ||