Information on Result #633728
Linear OA(3226, 270, F3, 99) (dual of [270, 44, 100]-code), using concatenation of two codes based on
- linear OA(8119, 30, F81, 19) (dual of [30, 11, 20]-code or 30-arc in PG(18,81)), using
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
- Reed–Solomon code RS(62,81) [i]
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), 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(3226, 270, F3, 98) (dual of [270, 44, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3226, 270, F3, 97) (dual of [270, 44, 98]-code) | [i] | ||
| 3 | Linear OA(3225, 269, F3, 98) (dual of [269, 44, 99]-code) | [i] | Truncation | |
| 4 | Linear OA(3224, 268, F3, 97) (dual of [268, 44, 98]-code) | [i] | ||
| 5 | Linear OA(3223, 267, F3, 96) (dual of [267, 44, 97]-code) | [i] | ||
| 6 | Linear OOA(3226, 90, F3, 3, 99) (dual of [(90, 3), 44, 100]-NRT-code) | [i] | OOA Folding | |