Information on Result #916225
Linear OOA(3125, 100, F3, 2, 51) (dual of [(100, 2), 75, 52]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2725, 25, F27, 2, 25) (dual of [(25, 2), 25, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2725, 27, F27, 2, 25) (dual of [(27, 2), 29, 26]-NRT-code), using
- Reed–Solomon NRT-code RS(2;29,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2725, 27, F27, 2, 25) (dual of [(27, 2), 29, 26]-NRT-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3125, 100, F3, 2, 50) (dual of [(100, 2), 75, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3126, 100, F3, 2, 51) (dual of [(100, 2), 74, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3124, 99, F3, 2, 50) (dual of [(99, 2), 74, 51]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3125, 50, F3, 4, 51) (dual of [(50, 4), 75, 52]-NRT-code) | [i] | OOA Folding | |