Information on Result #2670220
Linear OOA(2101, 43, F2, 3, 50) (dual of [(43, 3), 28, 51]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(298, 42, F2, 3, 50) (dual of [(42, 3), 28, 51]-NRT-code), using
- strength reduction [i] based on linear OOA(298, 42, F2, 3, 51) (dual of [(42, 3), 28, 52]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(428, 14, F4, 3, 25) (dual of [(14, 3), 14, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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
- linear OOA(428, 14, F4, 3, 25) (dual of [(14, 3), 14, 26]-NRT-code), using
- concatenation of two NRT-codes [i] based on
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(2217, 78, F2, 3, 100) (dual of [(78, 3), 17, 101]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2217, 78, F2, 3, 101) (dual of [(78, 3), 17, 102]-NRT-code) | [i] | ||