Information on Result #633717
Linear OA(3152, 180, F3, 69) (dual of [180, 28, 70]-code), using concatenation of two codes based on
- linear OA(8113, 20, F81, 13) (dual of [20, 7, 14]-code or 20-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), 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.
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(3152, 180, F3, 68) (dual of [180, 28, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3151, 179, F3, 68) (dual of [179, 28, 69]-code) | [i] | Truncation | |
| 3 | Linear OOA(3152, 60, F3, 3, 69) (dual of [(60, 3), 28, 70]-NRT-code) | [i] | OOA Folding | |