Information on Result #1029128
Linear OOA(3162, 56, F3, 3, 129) (dual of [(56, 3), 6, 130]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2712, 14, F27, 12) (dual of [14, 2, 13]-code or 14-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(3162, 56, F3, 3, 128) (dual of [(56, 3), 6, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3159, 55, F3, 3, 126) (dual of [(55, 3), 6, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3156, 54, F3, 3, 123) (dual of [(54, 3), 6, 124]-NRT-code) | [i] | ||
| 4 | Linear OOA(3153, 53, F3, 3, 120) (dual of [(53, 3), 6, 121]-NRT-code) | [i] | ||