Information on Result #602713
Linear OA(56, 6, F5, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,5)), 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(521, 30, F5, 14) (dual of [30, 9, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(521, 30, F5, 14) (dual of [30, 9, 15]-code) | [i] | ||
| 3 | Linear OA(513, 30, F5, 7) (dual of [30, 17, 8]-code) | [i] | ||
| 4 | Linear OA(564, 637, F5, 17) (dual of [637, 573, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(577, 3137, F5, 17) (dual of [3137, 3060, 18]-code) | [i] | ||
| 6 | Linear OA(590, 15637, F5, 17) (dual of [15637, 15547, 18]-code) | [i] | ||
| 7 | Linear OA(5103, 78137, F5, 17) (dual of [78137, 78034, 18]-code) | [i] | ||
| 8 | Linear OA(5116, 390637, F5, 17) (dual of [390637, 390521, 18]-code) | [i] | ||
| 9 | Linear OA(5129, 1953137, F5, 17) (dual of [1953137, 1953008, 18]-code) | [i] | ||
| 10 | Linear OA(584, 15637, F5, 16) (dual of [15637, 15553, 17]-code) | [i] | ||
| 11 | Linear OA(596, 78137, F5, 16) (dual of [78137, 78041, 17]-code) | [i] | ||
| 12 | Linear OA(5108, 390637, F5, 16) (dual of [390637, 390529, 17]-code) | [i] | ||
| 13 | Linear OA(5120, 1953137, F5, 16) (dual of [1953137, 1953017, 17]-code) | [i] | ||
| 14 | Linear OA(577, 15637, F5, 14) (dual of [15637, 15560, 15]-code) | [i] | ||
| 15 | Linear OA(588, 78137, F5, 14) (dual of [78137, 78049, 15]-code) | [i] | ||
| 16 | Linear OA(599, 390637, F5, 14) (dual of [390637, 390538, 15]-code) | [i] | ||
| 17 | Linear OA(5110, 1953137, F5, 14) (dual of [1953137, 1953027, 15]-code) | [i] | ||