Information on Result #915266
Linear OOA(2254, 343, F2, 2, 53) (dual of [(343, 2), 432, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(6426, 49, F64, 2, 26) (dual of [(49, 2), 72, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6426, 64, F64, 2, 26) (dual of [(64, 2), 102, 27]-NRT-code), using
- Reed–Solomon NRT-code RS(2;102,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6426, 64, F64, 2, 26) (dual of [(64, 2), 102, 27]-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(2254, 343, F2, 2, 52) (dual of [(343, 2), 432, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 343, F2, 2, 53) (dual of [(343, 2), 431, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2253, 342, F2, 2, 52) (dual of [(342, 2), 431, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2254, 171, F2, 4, 53) (dual of [(171, 4), 430, 54]-NRT-code) | [i] | OOA Folding | |