Information on Result #912765
Linear OOA(3126, 72, F3, 2, 77) (dual of [(72, 2), 18, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2712, 18, F27, 12) (dual of [18, 6, 13]-code or 18-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(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;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(3126, 72, F3, 2, 76) (dual of [(72, 2), 18, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3127, 72, F3, 2, 77) (dual of [(72, 2), 17, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3125, 71, F3, 2, 76) (dual of [(71, 2), 17, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3124, 71, F3, 2, 75) (dual of [(71, 2), 18, 76]-NRT-code) | [i] | ||
| 5 | Linear OOA(3123, 70, F3, 2, 74) (dual of [(70, 2), 17, 75]-NRT-code) | [i] | ||
| 6 | Linear OOA(3122, 70, F3, 2, 73) (dual of [(70, 2), 18, 74]-NRT-code) | [i] | ||
| 7 | Linear OOA(3121, 69, F3, 2, 72) (dual of [(69, 2), 17, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(3119, 68, F3, 2, 70) (dual of [(68, 2), 17, 71]-NRT-code) | [i] | ||
| 9 | Linear OOA(3126, 36, F3, 4, 77) (dual of [(36, 4), 18, 78]-NRT-code) | [i] | OOA Folding | |