Information on Result #914723
Linear OOA(2158, 135, F2, 2, 49) (dual of [(135, 2), 112, 50]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1626, 27, F16, 2, 24) (dual of [(27, 2), 28, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1626, 33, F16, 2, 24) (dual of [(33, 2), 40, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,41P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1626, 33, F16, 2, 24) (dual of [(33, 2), 40, 25]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2158, 135, F2, 2, 48) (dual of [(135, 2), 112, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2159, 135, F2, 2, 49) (dual of [(135, 2), 111, 50]-NRT-code) | [i] | OOA Duplication | |
3 | Linear OOA(2157, 134, F2, 2, 48) (dual of [(134, 2), 111, 49]-NRT-code) | [i] | Truncation for OOAs | |
4 | Linear OOA(2158, 67, F2, 4, 49) (dual of [(67, 4), 110, 50]-NRT-code) | [i] | OOA Folding |