Information on Result #1093104
Linear OOA(2182, 62, F2, 4, 79) (dual of [(62, 4), 66, 80]-NRT-code), using construction X applied to AG(4;F,56P) ⊂ AG(4;F,68P) based on
- linear OOA(2148, 48, F2, 4, 79) (dual of [(48, 4), 44, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,56P) 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, 4, 55) (dual of [(48, 4), 68, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,68P) 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(2182, 62, F2, 4, 78) (dual of [(62, 4), 66, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2182, 31, F2, 7, 79) (dual of [(31, 7), 35, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2182, 31, F2, 8, 79) (dual of [(31, 8), 66, 80]-NRT-code) | [i] | ||