Information on Result #631497
Linear OA(347, 68, F3, 21) (dual of [68, 21, 22]-code), using concatenation of two codes based on
- linear OA(2710, 17, F27, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), 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
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(347, 34, F3, 2, 21) (dual of [(34, 2), 21, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(347, 22, F3, 3, 21) (dual of [(22, 3), 19, 22]-NRT-code) | [i] | ||