Information on Result #1128381
Linear OOA(2214, 63, F2, 5, 101) (dual of [(63, 5), 101, 102]-NRT-code), using construction X applied to AG(5;F,69P) ⊂ AG(5;F,85P) based on
- linear OOA(2170, 48, F2, 5, 101) (dual of [(48, 5), 70, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) 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(2138, 48, F2, 5, 69) (dual of [(48, 5), 102, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(244, 15, F2, 5, 31) (dual of [(15, 5), 31, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,43P) [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(2214, 63, F2, 5, 100) (dual of [(63, 5), 101, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 63, F2, 5, 99) (dual of [(63, 5), 101, 100]-NRT-code) | [i] | ||