Information on Result #1178662
Linear OOA(2209, 58, F2, 8, 97) (dual of [(58, 8), 255, 98]-NRT-code), using construction X applied to AG(8;F,143P) ⊂ AG(8;F,162P) based on
- linear OOA(2166, 48, F2, 8, 97) (dual of [(48, 8), 218, 98]-NRT-code), using algebraic-geometric NRT-code AG(8;F,143P) 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(2128, 48, F2, 8, 59) (dual of [(48, 8), 256, 60]-NRT-code), using algebraic-geometric NRT-code AG(8;F,162P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(243, 10, F2, 8, 37) (dual of [(10, 8), 37, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,42P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2209, 58, F2, 8, 96) (dual of [(58, 8), 255, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 58, F2, 8, 95) (dual of [(58, 8), 255, 96]-NRT-code) | [i] | ||
| 3 | Linear OOA(2209, 58, F2, 8, 94) (dual of [(58, 8), 255, 95]-NRT-code) | [i] | ||