Information on Result #1128663
Linear OOA(2259, 72, F2, 5, 114) (dual of [(72, 5), 101, 115]-NRT-code), using construction X applied to AG(5;F,62P) ⊂ AG(5;F,85P) based on
- linear OOA(2184, 48, F2, 5, 115) (dual of [(48, 5), 56, 116]-NRT-code), using algebraic-geometric NRT-code AG(5;F,62P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2138, 48, F2, 5, 69) (dual of [(48, 5), 102, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(275, 24, F2, 5, 44) (dual of [(24, 5), 45, 45]-NRT-code), using
- construction X applied to AG(5;F,55P) ⊂ AG(5;F,65P) [i] based on
- linear OOA(265, 20, F2, 5, 44) (dual of [(20, 5), 35, 45]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(255, 20, F2, 5, 34) (dual of [(20, 5), 45, 35]-NRT-code), using algebraic-geometric NRT-code AG(5;F,65P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (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
- construction X applied to AG(5;F,55P) ⊂ AG(5;F,65P) [i] based on
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(2259, 72, F2, 5, 113) (dual of [(72, 5), 101, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2259, 72, F2, 5, 112) (dual of [(72, 5), 101, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(2260, 72, F2, 5, 114) (dual of [(72, 5), 100, 115]-NRT-code) | [i] | OOA Duplication | |