Information on Result #1120577
Linear OOA(2237, 51, F2, 5, 162) (dual of [(51, 5), 18, 163]-NRT-code), using juxtaposition based on
- linear OOA(272, 18, F2, 5, 53) (dual of [(18, 5), 18, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(272, 19, F2, 5, 53) (dual of [(19, 5), 23, 54]-NRT-code), using
- algebraic-geometric NRT-code AG(5;F,41P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(272, 19, F2, 5, 53) (dual of [(19, 5), 23, 54]-NRT-code), using
- linear OOA(2147, 33, F2, 5, 108) (dual of [(33, 5), 18, 109]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,56P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, 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(2237, 51, F2, 5, 161) (dual of [(51, 5), 18, 162]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2237, 51, F2, 5, 160) (dual of [(51, 5), 18, 161]-NRT-code) | [i] | ||
| 3 | Linear OOA(2237, 51, F2, 5, 159) (dual of [(51, 5), 18, 160]-NRT-code) | [i] | ||