Information on Result #638123
Linear OA(560, 66, F5, 44) (dual of [66, 6, 45]-code), using concatenation of two codes based on
- linear OA(258, 11, F25, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,25)), using
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using
- Reed–Solomon code RS(17,25) [i]
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using
- linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
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(560, 66, F5, 43) (dual of [66, 6, 44]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(560, 22, F5, 3, 44) (dual of [(22, 3), 6, 45]-NRT-code) | [i] | OOA Folding | |