Information on Result #632672
Linear OA(3139, 160, F3, 69) (dual of [160, 21, 70]-code), using concatenation of two codes based on
- linear OA(2713, 20, F27, 13) (dual of [20, 7, 14]-code or 20-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), 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(3139, 160, F3, 68) (dual of [160, 21, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3139, 160, F3, 67) (dual of [160, 21, 68]-code) | [i] | ||
| 3 | Linear OA(3139, 160, F3, 66) (dual of [160, 21, 67]-code) | [i] | ||
| 4 | Linear OA(3142, 165, F3, 69) (dual of [165, 23, 70]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(3139, 80, F3, 2, 69) (dual of [(80, 2), 21, 70]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3139, 53, F3, 3, 69) (dual of [(53, 3), 20, 70]-NRT-code) | [i] | ||
| 7 | Linear OOA(3139, 32, F3, 5, 69) (dual of [(32, 5), 21, 70]-NRT-code) | [i] | ||