Information on Result #915286
Linear OOA(2258, 315, F2, 2, 57) (dual of [(315, 2), 372, 58]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(6428, 45, F64, 2, 28) (dual of [(45, 2), 62, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6428, 64, F64, 2, 28) (dual of [(64, 2), 100, 29]-NRT-code), using
- Reed–Solomon NRT-code RS(2;100,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6428, 64, F64, 2, 28) (dual of [(64, 2), 100, 29]-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(2258, 315, F2, 2, 56) (dual of [(315, 2), 372, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2259, 315, F2, 2, 57) (dual of [(315, 2), 371, 58]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2257, 314, F2, 2, 56) (dual of [(314, 2), 371, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2258, 157, F2, 4, 57) (dual of [(157, 4), 370, 58]-NRT-code) | [i] | OOA Folding | |