Information on Result #914580
Linear OOA(290, 75, F2, 2, 31) (dual of [(75, 2), 60, 32]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1615, 15, F16, 2, 15) (dual of [(15, 2), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1615, 16, F16, 2, 15) (dual of [(16, 2), 17, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(2;17,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1615, 16, F16, 2, 15) (dual of [(16, 2), 17, 16]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(290, 75, F2, 2, 30) (dual of [(75, 2), 60, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(291, 75, F2, 2, 31) (dual of [(75, 2), 59, 32]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(289, 74, F2, 2, 30) (dual of [(74, 2), 59, 31]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(290, 37, F2, 4, 31) (dual of [(37, 4), 58, 32]-NRT-code) | [i] | OOA Folding | |