Information on Result #633742
Linear OA(3132, 160, F3, 59) (dual of [160, 28, 60]-code), using concatenation of two codes based on
- linear OA(819, 16, F81, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-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(3132, 160, F3, 58) (dual of [160, 28, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3133, 161, F3, 59) (dual of [161, 28, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3131, 159, F3, 58) (dual of [159, 28, 59]-code) | [i] | Truncation | |
| 4 | Linear OOA(3132, 80, F3, 2, 59) (dual of [(80, 2), 28, 60]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3132, 53, F3, 3, 59) (dual of [(53, 3), 27, 60]-NRT-code) | [i] | ||