Information on Result #605067
Linear OA(718, 19, F7, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,7)), 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(718, 19, F7, 17) (dual of [19, 1, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7109, 362, F7, 36) (dual of [362, 253, 37]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(752, 469, F7, 18) (dual of [469, 417, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(759, 1034, F7, 18) (dual of [1034, 975, 19]-code) | [i] | ||