Information on Result #2227775
Linear OA(355, 79, F3, 24) (dual of [79, 24, 25]-code), using 1 times truncation based on linear OA(356, 80, F3, 25) (dual of [80, 24, 26]-code), using
- concatenation of two codes [i] based on
- linear OA(2712, 20, F27, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2712, 20, F27, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,27)), 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 OOA(355, 39, F3, 2, 24) (dual of [(39, 2), 23, 25]-NRT-code) | [i] | OOA Folding | |