Information on Result #605065
Linear OA(716, 17, F7, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,7)), 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(716, 17, F7, 15) (dual of [17, 1, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(798, 360, F7, 32) (dual of [360, 262, 33]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(746, 426, F7, 16) (dual of [426, 380, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(747, 484, F7, 16) (dual of [484, 437, 17]-code) | [i] | ||
| 5 | Linear OA(762, 16824, F7, 13) (dual of [16824, 16762, 14]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(757, 16824, F7, 12) (dual of [16824, 16767, 13]-code) | [i] | ||