Information on Result #1128517
Linear OOA(2222, 66, F2, 5, 99) (dual of [(66, 5), 108, 100]-NRT-code), using construction X applied to AG(5;F,70P) ⊂ AG(5;F,88P) based on
- linear OOA(2168, 48, F2, 5, 99) (dual of [(48, 5), 72, 100]-NRT-code), using algebraic-geometric NRT-code AG(5;F,70P) 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(2132, 48, F2, 5, 63) (dual of [(48, 5), 108, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,88P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(254, 18, F2, 5, 35) (dual of [(18, 5), 36, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 19, F2, 5, 35) (dual of [(19, 5), 41, 36]-NRT-code), using
- algebraic-geometric NRT-code AG(5;F,59P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(254, 19, F2, 5, 35) (dual of [(19, 5), 41, 36]-NRT-code), 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(2222, 66, F2, 5, 98) (dual of [(66, 5), 108, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 66, F2, 5, 97) (dual of [(66, 5), 108, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 66, F2, 5, 99) (dual of [(66, 5), 107, 100]-NRT-code) | [i] | OOA Duplication | |