Information on Result #631580
Linear OA(373, 100, F3, 33) (dual of [100, 27, 34]-code), using concatenation of two codes based on
- linear OA(2716, 25, F27, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,27)), using
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- Reed–Solomon code RS(11,27) [i]
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), 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 OA(372, 99, F3, 32) (dual of [99, 27, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(373, 50, F3, 2, 33) (dual of [(50, 2), 27, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(373, 33, F3, 3, 33) (dual of [(33, 3), 26, 34]-NRT-code) | [i] | ||