Information on Result #918539
Linear OOA(4258, 216, F4, 2, 101) (dual of [(216, 2), 174, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(6450, 54, F64, 2, 50) (dual of [(54, 2), 58, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6450, 64, F64, 2, 50) (dual of [(64, 2), 78, 51]-NRT-code), using
- Reed–Solomon NRT-code RS(2;78,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6450, 64, F64, 2, 50) (dual of [(64, 2), 78, 51]-NRT-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4258, 216, F4, 2, 100) (dual of [(216, 2), 174, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4259, 216, F4, 2, 101) (dual of [(216, 2), 173, 102]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4257, 215, F4, 2, 100) (dual of [(215, 2), 173, 101]-NRT-code) | [i] | Truncation for OOAs | |