Information on Result #638089
Linear OA(572, 80, F5, 51) (dual of [80, 8, 52]-code), using concatenation of two codes based on
- linear OA(2512, 16, F25, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,25)), using
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- Reed–Solomon code RS(13,25) [i]
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(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 OOA(572, 40, F5, 2, 51) (dual of [(40, 2), 8, 52]-NRT-code) | [i] | OOA Folding | |