Information on Result #637596
Linear OA(551, 69, F5, 29) (dual of [69, 18, 30]-code), using concatenation of two codes based on
- linear OA(2514, 23, F25, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,25)), using
- discarding factors / shortening the dual code based on linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using
- Reed–Solomon code RS(11,25) [i]
- discarding factors / shortening the dual code based on linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using
- linear OA(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(550, 68, F5, 28) (dual of [68, 18, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(551, 34, F5, 2, 29) (dual of [(34, 2), 17, 30]-NRT-code) | [i] | OOA Folding | |