Information on Result #1088270
Linear OOA(258, 23, F2, 4, 31) (dual of [(23, 4), 34, 32]-NRT-code), using construction X applied to AG(4;F,44P) ⊂ AG(4;F,52P) based on
- linear OOA(250, 19, F2, 4, 31) (dual of [(19, 4), 26, 32]-NRT-code), using algebraic-geometric NRT-code AG(4;F,44P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(242, 19, F2, 4, 23) (dual of [(19, 4), 34, 24]-NRT-code), using algebraic-geometric NRT-code AG(4;F,52P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(28, 4, F2, 4, 7) (dual of [(4, 4), 8, 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(258, 23, F2, 4, 30) (dual of [(23, 4), 34, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |