Information on Result #633744
Linear OA(3120, 140, F3, 59) (dual of [140, 20, 60]-code), using concatenation of two codes based on
- linear OA(819, 14, F81, 9) (dual of [14, 5, 10]-code or 14-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(3120, 140, F3, 58) (dual of [140, 20, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3120, 140, F3, 57) (dual of [140, 20, 58]-code) | [i] | ||