Information on Result #1121511
Linear OOA(278, 25, F2, 5, 43) (dual of [(25, 5), 47, 44]-NRT-code), using construction X applied to AG(5;F,51P) ⊂ AG(5;F,66P) based on
- linear OOA(262, 19, F2, 5, 43) (dual of [(19, 5), 33, 44]-NRT-code), using algebraic-geometric NRT-code AG(5;F,51P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(247, 19, F2, 5, 28) (dual of [(19, 5), 48, 29]-NRT-code), using algebraic-geometric NRT-code AG(5;F,66P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,15P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(278, 25, F2, 5, 42) (dual of [(25, 5), 47, 43]-NRT-code) | [i] | Strength Reduction for OOAs |