Information on Result #915253
Linear OOA(2222, 294, F2, 2, 47) (dual of [(294, 2), 366, 48]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(6423, 42, F64, 2, 23) (dual of [(42, 2), 61, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6423, 64, F64, 2, 23) (dual of [(64, 2), 105, 24]-NRT-code), using
- Reed–Solomon NRT-code RS(2;105,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6423, 64, F64, 2, 23) (dual of [(64, 2), 105, 24]-NRT-code), using
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(2222, 294, F2, 2, 46) (dual of [(294, 2), 366, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2223, 294, F2, 2, 47) (dual of [(294, 2), 365, 48]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2221, 293, F2, 2, 46) (dual of [(293, 2), 365, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2222, 147, F2, 4, 47) (dual of [(147, 4), 366, 48]-NRT-code) | [i] | OOA Folding | |