Information on Result #605068
Linear OA(719, 20, F7, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,7)), using dual of repetition code with length 20
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(719, 20, F7, 18) (dual of [20, 1, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(735, 65, F7, 19) (dual of [65, 30, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(747, 212, F7, 19) (dual of [212, 165, 20]-code) | [i] | ||
| 4 | Linear OA(753, 397, F7, 19) (dual of [397, 344, 20]-code) | [i] | ||
| 5 | Linear OA(772, 3032, F7, 19) (dual of [3032, 2960, 20]-code) | [i] | ||
| 6 | Linear OA(773, 3377, F7, 19) (dual of [3377, 3304, 20]-code) | [i] | ||
| 7 | Linear OA(798, 117669, F7, 18) (dual of [117669, 117571, 19]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |