Information on Result #1029127
Linear OOA(3171, 60, F3, 3, 129) (dual of [(60, 3), 9, 130]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2712, 15, F27, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- linear OOA(39, 4, F3, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,3) [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3171, 60, F3, 3, 128) (dual of [(60, 3), 9, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3168, 59, F3, 3, 126) (dual of [(59, 3), 9, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3165, 58, F3, 3, 123) (dual of [(58, 3), 9, 124]-NRT-code) | [i] | ||
| 4 | Linear OOA(3162, 57, F3, 3, 120) (dual of [(57, 3), 9, 121]-NRT-code) | [i] | ||