Information on Result #1121726
Linear OOA(289, 25, F2, 5, 55) (dual of [(25, 5), 36, 56]-NRT-code), using construction X applied to AG(5;F,44P) ⊂ AG(5;F,57P) based on
- linear OOA(276, 20, F2, 5, 55) (dual of [(20, 5), 24, 56]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(263, 20, F2, 5, 42) (dual of [(20, 5), 37, 43]-NRT-code), using algebraic-geometric NRT-code AG(5;F,57P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
- linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,12P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2248, 57, F2, 5, 140) (dual of [(57, 5), 37, 141]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |