Information on Result #1088821
Linear OOA(2121, 44, F2, 4, 61) (dual of [(44, 4), 55, 62]-NRT-code), using construction X applied to AG(4;F,102P) ⊂ AG(4;F,109P) based on
- linear OOA(2115, 41, F2, 4, 61) (dual of [(41, 4), 49, 62]-NRT-code), using algebraic-geometric NRT-code AG(4;F,102P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2108, 41, F2, 4, 54) (dual of [(41, 4), 56, 55]-NRT-code), using algebraic-geometric NRT-code AG(4;F,109P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;6,2) [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(2121, 44, F2, 4, 60) (dual of [(44, 4), 55, 61]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2121, 22, F2, 7, 61) (dual of [(22, 7), 33, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2121, 22, F2, 8, 61) (dual of [(22, 8), 55, 62]-NRT-code) | [i] | ||