Information on Result #1178666
Linear OOA(2205, 58, F2, 8, 93) (dual of [(58, 8), 259, 94]-NRT-code), using construction X applied to AG(8;F,145P) ⊂ AG(8;F,164P) based on
- linear OOA(2162, 48, F2, 8, 93) (dual of [(48, 8), 222, 94]-NRT-code), using algebraic-geometric NRT-code AG(8;F,145P) 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(2124, 48, F2, 8, 55) (dual of [(48, 8), 260, 56]-NRT-code), using algebraic-geometric NRT-code AG(8;F,164P) 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(2205, 58, F2, 8, 92) (dual of [(58, 8), 259, 93]-NRT-code) | [i] | Strength Reduction for OOAs | |