Information on Result #605064
Linear OA(715, 16, F7, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,7)), using dual of repetition code with length 16
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(715, 16, F7, 14) (dual of [16, 1, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(791, 359, F7, 30) (dual of [359, 268, 31]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(746, 610, F7, 15) (dual of [610, 564, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(747, 700, F7, 15) (dual of [700, 653, 16]-code) | [i] | ||
| 5 | Linear OA(794, 360, F7, 31) (dual of [360, 266, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(7100, 360, F7, 33) (dual of [360, 260, 34]-code) | [i] | ||
| 7 | Linear OA(744, 823560, F7, 7) (dual of [823560, 823516, 8]-code) | [i] | Construction X4 with Cyclic Codes | |
| 8 | Linear OA(730, 823560, F7, 5) (dual of [823560, 823530, 6]-code) | [i] | ||
| 9 | Linear OA(786, 823559, F7, 14) (dual of [823559, 823473, 15]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(779, 823559, F7, 13) (dual of [823559, 823480, 14]-code) | [i] | ||
| 11 | Linear OA(772, 823559, F7, 12) (dual of [823559, 823487, 13]-code) | [i] | ||
| 12 | Linear OA(765, 823559, F7, 11) (dual of [823559, 823494, 12]-code) | [i] | ||
| 13 | Linear OA(758, 823559, F7, 10) (dual of [823559, 823501, 11]-code) | [i] | ||
| 14 | Linear OA(737, 823559, F7, 6) (dual of [823559, 823522, 7]-code) | [i] | ||
| 15 | Linear OA(723, 823559, F7, 4) (dual of [823559, 823536, 5]-code) | [i] | ||