Information on Result #602714
Linear OA(57, 7, F5, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,5)), 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(5147, 15646, F5, 27) (dual of [15646, 15499, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(5147, 15646, F5, 27) (dual of [15646, 15499, 28]-code) | [i] | ||
| 3 | Linear OA(589, 3139, F5, 19) (dual of [3139, 3050, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(5104, 15639, F5, 19) (dual of [15639, 15535, 20]-code) | [i] | ||
| 5 | Linear OA(5119, 78139, F5, 19) (dual of [78139, 78020, 20]-code) | [i] | ||
| 6 | Linear OA(5134, 390639, F5, 19) (dual of [390639, 390505, 20]-code) | [i] | ||
| 7 | Linear OA(5149, 1953139, F5, 19) (dual of [1953139, 1952990, 20]-code) | [i] | ||
| 8 | Linear OA(598, 15639, F5, 18) (dual of [15639, 15541, 19]-code) | [i] | ||
| 9 | Linear OA(5112, 78139, F5, 18) (dual of [78139, 78027, 19]-code) | [i] | ||
| 10 | Linear OA(5126, 390639, F5, 18) (dual of [390639, 390513, 19]-code) | [i] | ||
| 11 | Linear OA(5140, 1953139, F5, 18) (dual of [1953139, 1952999, 19]-code) | [i] | ||