Information on Result #631508
Linear OA(351, 72, F3, 23) (dual of [72, 21, 24]-code), using concatenation of two codes based on
- linear OA(2711, 18, F27, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), 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(351, 36, F3, 2, 23) (dual of [(36, 2), 21, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(351, 24, F3, 3, 23) (dual of [(24, 3), 21, 24]-NRT-code) | [i] | ||