Information on Result #633736
Linear OA(3249, 297, F3, 109) (dual of [297, 48, 110]-code), using concatenation of two codes 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
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 OA(3249, 297, F3, 108) (dual of [297, 48, 109]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3250, 298, F3, 109) (dual of [298, 48, 110]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3248, 296, F3, 108) (dual of [296, 48, 109]-code) | [i] | Truncation | |
| 4 | Linear OA(3247, 295, F3, 107) (dual of [295, 48, 108]-code) | [i] | ||
| 5 | Linear OA(3246, 294, F3, 106) (dual of [294, 48, 107]-code) | [i] | ||
| 6 | Linear OA(3245, 293, F3, 105) (dual of [293, 48, 106]-code) | [i] | ||
| 7 | Linear OA(3244, 292, F3, 104) (dual of [292, 48, 105]-code) | [i] | ||
| 8 | Linear OA(3243, 291, F3, 103) (dual of [291, 48, 104]-code) | [i] | ||
| 9 | Linear OOA(3249, 148, F3, 2, 109) (dual of [(148, 2), 47, 110]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3249, 99, F3, 3, 109) (dual of [(99, 3), 48, 110]-NRT-code) | [i] | ||