Information on Result #1092751
Linear OOA(2179, 57, F2, 4, 89) (dual of [(57, 4), 49, 90]-NRT-code), using construction X applied to AG(4;F,13P) ⊂ AG(4;F,17P) based on
- linear OOA(2143, 42, F2, 4, 89) (dual of [(42, 4), 25, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,13P) 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]
- linear OOA(2119, 42, F2, 4, 65) (dual of [(42, 4), 49, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,17P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(236, 15, F2, 4, 23) (dual of [(15, 4), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,36P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2179, 57, F2, 4, 88) (dual of [(57, 4), 49, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |