Information on Result #2461600
Linear OOA(2247, 219, F2, 2, 72) (dual of [(219, 2), 191, 73]-NRT-code), using 1 step truncation based on linear OOA(2248, 220, F2, 2, 73) (dual of [(220, 2), 192, 74]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1640, 44, F16, 2, 36) (dual of [(44, 2), 48, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1640, 45, F16, 2, 36) (dual of [(45, 2), 50, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,53P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(1640, 45, F16, 2, 36) (dual of [(45, 2), 50, 37]-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
- linear OOA(1640, 44, F16, 2, 36) (dual of [(44, 2), 48, 37]-NRT-code), 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(2247, 109, F2, 4, 72) (dual of [(109, 4), 189, 73]-NRT-code) | [i] | OOA Folding | |