Information on Result #603293
Linear OA(163, 3, F16, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,16) or 3-cap in PG(2,16)), using complete OA / dual of code with only one code word
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | ||
| 3 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | ||
| 4 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | ||
| 5 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | ||
| 6 | Linear OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | ||
| 7 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 8 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 9 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 10 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 11 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 12 | Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code) | [i] | ||
| 13 | Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code) | [i] | ||
| 14 | Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code) | [i] | ||
| 15 | Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code) | [i] | ||
| 16 | Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-code) | [i] | ||
| 17 | Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-code) | [i] | ||
| 18 | Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-code) | [i] | ||
| 19 | Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code) | [i] | ||
| 20 | Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code) | [i] | ||
| 21 | Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code) | [i] | ||
| 22 | Linear OA(1677, 1048588, F16, 14) (dual of [1048588, 1048511, 15]-code) | [i] | ||
| 23 | Linear OA(1677, 1048588, F16, 14) (dual of [1048588, 1048511, 15]-code) | [i] | ||
| 24 | Linear OA(1677, 1048588, F16, 14) (dual of [1048588, 1048511, 15]-code) | [i] | ||
| 25 | Linear OA(1654, 1048585, F16, 10) (dual of [1048585, 1048531, 11]-code) | [i] | ||
| 26 | Linear OA(1654, 1048585, F16, 10) (dual of [1048585, 1048531, 11]-code) | [i] | ||
| 27 | Linear OA(1627, 4102, F16, 8) (dual of [4102, 4075, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 28 | Linear OA(1635, 131078, F16, 8) (dual of [131078, 131043, 9]-code) | [i] | ||
| 29 | Linear OA(1641, 1048582, F16, 8) (dual of [1048582, 1048541, 9]-code) | [i] | ||