Information on Result #1654291
Linear OOA(2231, 59, F2, 5, 141) (dual of [(59, 5), 64, 142]-NRT-code), using construction X applied to AG(5;F,133P) ⊂ AG(5;F,143P) based on
- linear OOA(2221, 55, F2, 5, 141) (dual of [(55, 5), 54, 142]-NRT-code), using algebraic-geometric NRT-code AG(5;F,133P) [i] based on function field F/F2 with g(F) = 80 and N(F) ≥ 56, using
- linear OOA(2211, 55, F2, 5, 131) (dual of [(55, 5), 64, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,143P) [i] based on function field F/F2 with g(F) = 80 and N(F) ≥ 56 (see above)
- linear OOA(210, 4, F2, 5, 9) (dual of [(4, 5), 10, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), 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(2231, 59, F2, 5, 140) (dual of [(59, 5), 64, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |