Information on Result #1088149
Linear OOA(287, 25, F2, 4, 55) (dual of [(25, 4), 13, 56]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,25P) based on
- linear OOA(255, 14, F2, 4, 55) (dual of [(14, 4), 1, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, using
- linear OOA(243, 14, F2, 4, 30) (dual of [(14, 4), 13, 31]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15 (see above)
- linear OOA(232, 11, F2, 4, 24) (dual of [(11, 4), 12, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,19P) [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, 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(287, 25, F2, 4, 54) (dual of [(25, 4), 13, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |