Information on Result #637995
Linear OA(566, 80, F5, 41) (dual of [80, 14, 42]-code), using concatenation of two codes based on
- linear OA(2513, 20, F25, 13) (dual of [20, 7, 14]-code or 20-arc in PG(12,25)), using
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- Reed–Solomon code RS(12,25) [i]
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
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(565, 79, F5, 40) (dual of [79, 14, 41]-code) | [i] | Truncation | |
| 2 | Linear OA(563, 77, F5, 38) (dual of [77, 14, 39]-code) | [i] | ||