Information on Result #1127293
Linear OOA(2145, 46, F2, 5, 79) (dual of [(46, 5), 85, 80]-NRT-code), using construction X applied to AG(5;F,21P) ⊂ AG(5;F,23P) based on
- linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2125, 42, F2, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(28, 4, F2, 5, 7) (dual of [(4, 5), 12, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-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(2223, 79, F2, 5, 79) (dual of [(79, 5), 172, 80]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |