Information on Result #1093086
Linear OOA(2194, 62, F2, 4, 91) (dual of [(62, 4), 54, 92]-NRT-code), using construction X applied to AG(4;F,50P) ⊂ AG(4;F,62P) based on
- linear OOA(2160, 48, F2, 4, 91) (dual of [(48, 4), 32, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,50P) 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(2136, 48, F2, 4, 67) (dual of [(48, 4), 56, 68]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(234, 14, F2, 4, 23) (dual of [(14, 4), 22, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,32P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2194, 62, F2, 4, 90) (dual of [(62, 4), 54, 91]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2194, 31, F2, 7, 91) (dual of [(31, 7), 23, 92]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2194, 31, F2, 8, 91) (dual of [(31, 8), 54, 92]-NRT-code) | [i] | ||