Information on Result #2763354
Linear OOA(2184, 63, F2, 4, 78) (dual of [(63, 4), 68, 79]-NRT-code), using strength reduction based on linear OOA(2184, 63, F2, 4, 79) (dual of [(63, 4), 68, 80]-NRT-code), using
- construction X applied to AG(4;F,56P) ⊂ AG(4;F,68P) [i] 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(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(2185, 63, F2, 4, 78) (dual of [(63, 4), 67, 79]-NRT-code) | [i] | OOA Duplication | |