Information on Result #1122508
Linear OOA(2123, 45, F2, 5, 59) (dual of [(45, 5), 102, 60]-NRT-code), using construction X applied to AG(5;F,145P) ⊂ AG(5;F,155P) based on
- linear OOA(2113, 41, F2, 5, 59) (dual of [(41, 5), 92, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,145P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2103, 41, F2, 5, 49) (dual of [(41, 5), 102, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,155P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (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: 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(2123, 45, F2, 5, 58) (dual of [(45, 5), 102, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |