Information on Result #915136
Linear OOA(2170, 180, F2, 2, 45) (dual of [(180, 2), 190, 46]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3222, 30, F32, 2, 22) (dual of [(30, 2), 38, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3222, 32, F32, 2, 22) (dual of [(32, 2), 42, 23]-NRT-code), using
- Reed–Solomon NRT-code RS(2;42,32) [i]
- discarding factors / shortening the dual code based on linear OOA(3222, 32, F32, 2, 22) (dual of [(32, 2), 42, 23]-NRT-code), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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(2170, 180, F2, 2, 44) (dual of [(180, 2), 190, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2171, 180, F2, 2, 45) (dual of [(180, 2), 189, 46]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2169, 179, F2, 2, 44) (dual of [(179, 2), 189, 45]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2170, 90, F2, 4, 45) (dual of [(90, 4), 190, 46]-NRT-code) | [i] | OOA Folding | |