Information on Result #632676
Linear OA(3162, 192, F3, 74) (dual of [192, 30, 75]-code), using concatenation of two codes based on
- linear OA(2714, 24, F27, 14) (dual of [24, 10, 15]-code or 24-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- linear OA(35, 8, F3, 4) (dual of [8, 3, 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.
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(3163, 193, F3, 74) (dual of [193, 30, 75]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3161, 191, F3, 73) (dual of [191, 30, 74]-code) | [i] | Truncation | |
| 3 | Linear OA(3160, 190, F3, 72) (dual of [190, 30, 73]-code) | [i] | ||
| 4 | Linear OOA(3162, 96, F3, 2, 74) (dual of [(96, 2), 30, 75]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3162, 64, F3, 3, 74) (dual of [(64, 3), 30, 75]-NRT-code) | [i] | ||