Information on Result #1149138
Linear OOA(2213, 54, F2, 6, 125) (dual of [(54, 6), 111, 126]-NRT-code), using construction X applied to AG(6;F,81P) ⊂ AG(6;F,90P) based on
- linear OOA(2194, 48, F2, 6, 125) (dual of [(48, 6), 94, 126]-NRT-code), using algebraic-geometric NRT-code AG(6;F,81P) 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(2176, 48, F2, 6, 107) (dual of [(48, 6), 112, 108]-NRT-code), using algebraic-geometric NRT-code AG(6;F,90P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(219, 6, F2, 6, 17) (dual of [(6, 6), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,18P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2213, 54, F2, 6, 124) (dual of [(54, 6), 111, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2213, 54, F2, 6, 123) (dual of [(54, 6), 111, 124]-NRT-code) | [i] | ||