Information on Result #1568855
Linear OOA(2181, 75, F2, 3, 89) (dual of [(75, 3), 44, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(453, 25, F4, 3, 44) (dual of [(25, 3), 22, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(453, 26, F4, 3, 44) (dual of [(26, 3), 25, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,33P) [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 26, using
- discarding factors / shortening the dual code based on linear OOA(453, 26, F4, 3, 44) (dual of [(26, 3), 25, 45]-NRT-code), 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
Mode: 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(2181, 75, F2, 3, 88) (dual of [(75, 3), 44, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2182, 75, F2, 3, 89) (dual of [(75, 3), 43, 90]-NRT-code) | [i] | OOA Duplication | |