Information on Result #2268674
Linear OA(3250, 298, F3, 109) (dual of [298, 48, 110]-code), using 1 times code embedding in larger space based on linear OA(3249, 297, F3, 109) (dual of [297, 48, 110]-code), using
- concatenation of two codes [i] based on
- linear OA(8121, 33, F81, 21) (dual of [33, 12, 22]-code or 33-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- Reed–Solomon code RS(60,81) [i]
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- linear OA(35, 9, F3, 4) (dual of [9, 4, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- linear OA(8121, 33, F81, 21) (dual of [33, 12, 22]-code or 33-arc in PG(20,81)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3250, 149, F3, 2, 109) (dual of [(149, 2), 48, 110]-NRT-code) | [i] | OOA Folding | |