Information on Result #1030691
Linear OOA(253, 22, F2, 3, 30) (dual of [(22, 3), 13, 31]-NRT-code), using construction X applied to AG(3;F,26P) ⊂ AG(3;F,31P) based on
- linear OOA(249, 19, F2, 3, 30) (dual of [(19, 3), 8, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,26P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(244, 19, F2, 3, 25) (dual of [(19, 3), 13, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,31P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [i]
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(253, 22, F2, 3, 29) (dual of [(22, 3), 13, 30]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(253, 11, F2, 6, 30) (dual of [(11, 6), 13, 31]-NRT-code) | [i] | OOA Folding | |