Information on Result #915135
Linear OOA(2172, 186, F2, 2, 45) (dual of [(186, 2), 200, 46]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3222, 31, F32, 2, 22) (dual of [(31, 2), 40, 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(2172, 186, F2, 2, 44) (dual of [(186, 2), 200, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2173, 186, F2, 2, 45) (dual of [(186, 2), 199, 46]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2171, 185, F2, 2, 44) (dual of [(185, 2), 199, 45]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2172, 93, F2, 4, 45) (dual of [(93, 4), 200, 46]-NRT-code) | [i] | OOA Folding | |