Information on Result #1028466
Linear OOA(2101, 39, F2, 3, 59) (dual of [(39, 3), 16, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2101, 39, F2, 3, 58) (dual of [(39, 3), 16, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2101, 39, F2, 3, 57) (dual of [(39, 3), 16, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2101, 39, F2, 3, 56) (dual of [(39, 3), 16, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(2101, 39, F2, 3, 55) (dual of [(39, 3), 16, 56]-NRT-code) | [i] | ||
| 5 | Linear OOA(2102, 39, F2, 3, 59) (dual of [(39, 3), 15, 60]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2103, 39, F2, 3, 59) (dual of [(39, 3), 14, 60]-NRT-code) | [i] | ||
| 7 | Linear OOA(2100, 38, F2, 3, 58) (dual of [(38, 3), 14, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(299, 38, F2, 3, 57) (dual of [(38, 3), 15, 58]-NRT-code) | [i] | ||
| 9 | Linear OOA(298, 38, F2, 3, 56) (dual of [(38, 3), 16, 57]-NRT-code) | [i] | ||
| 10 | Linear OOA(297, 37, F2, 3, 55) (dual of [(37, 3), 14, 56]-NRT-code) | [i] | ||
| 11 | Linear OOA(296, 37, F2, 3, 54) (dual of [(37, 3), 15, 55]-NRT-code) | [i] | ||
| 12 | Linear OOA(295, 37, F2, 3, 53) (dual of [(37, 3), 16, 54]-NRT-code) | [i] | ||
| 13 | Linear OOA(294, 36, F2, 3, 52) (dual of [(36, 3), 14, 53]-NRT-code) | [i] | ||
| 14 | Linear OOA(293, 36, F2, 3, 51) (dual of [(36, 3), 15, 52]-NRT-code) | [i] | ||
| 15 | Linear OOA(2101, 19, F2, 6, 59) (dual of [(19, 6), 13, 60]-NRT-code) | [i] | OOA Folding | |