Information on Result #912750
Linear OOA(392, 52, F3, 2, 59) (dual of [(52, 2), 12, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(279, 13, F27, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), 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(392, 52, F3, 2, 58) (dual of [(52, 2), 12, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(392, 52, F3, 2, 57) (dual of [(52, 2), 12, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(393, 52, F3, 2, 59) (dual of [(52, 2), 11, 60]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(391, 51, F3, 2, 58) (dual of [(51, 2), 11, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(390, 51, F3, 2, 57) (dual of [(51, 2), 12, 58]-NRT-code) | [i] | ||
| 6 | Linear OOA(389, 50, F3, 2, 56) (dual of [(50, 2), 11, 57]-NRT-code) | [i] | ||
| 7 | Linear OOA(388, 50, F3, 2, 55) (dual of [(50, 2), 12, 56]-NRT-code) | [i] | ||
| 8 | Linear OOA(387, 49, F3, 2, 54) (dual of [(49, 2), 11, 55]-NRT-code) | [i] | ||
| 9 | Linear OOA(386, 49, F3, 2, 53) (dual of [(49, 2), 12, 54]-NRT-code) | [i] | ||
| 10 | Linear OOA(385, 48, F3, 2, 52) (dual of [(48, 2), 11, 53]-NRT-code) | [i] | ||
| 11 | Linear OOA(392, 26, F3, 4, 59) (dual of [(26, 4), 12, 60]-NRT-code) | [i] | OOA Folding | |