Information on Result #1129436
Linear OOA(2218, 78, F2, 5, 77) (dual of [(78, 5), 172, 78]-NRT-code), using (u, u+v)-construction based on
- linear OOA(287, 36, F2, 5, 38) (dual of [(36, 5), 93, 39]-NRT-code), using
- construction X applied to AG(5;F,121P) ⊂ AG(5;F,131P) [i] based on
- linear OOA(277, 32, F2, 5, 38) (dual of [(32, 5), 83, 39]-NRT-code), using algebraic-geometric NRT-code AG(5;F,121P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(267, 32, F2, 5, 28) (dual of [(32, 5), 93, 29]-NRT-code), using algebraic-geometric NRT-code AG(5;F,131P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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,121P) ⊂ AG(5;F,131P) [i] based on
- linear OOA(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,132P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(5;F,22P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
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(2219, 78, F2, 5, 77) (dual of [(78, 5), 171, 78]-NRT-code) | [i] | OOA Duplication | |