Information on Result #1177678
Linear OOA(2187, 44, F2, 8, 121) (dual of [(44, 8), 165, 122]-NRT-code), using construction X applied to AG(8;F,206P) ⊂ AG(8;F,219P) based on
- linear OOA(2175, 41, F2, 8, 121) (dual of [(41, 8), 153, 122]-NRT-code), using algebraic-geometric NRT-code AG(8;F,206P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2162, 41, F2, 8, 108) (dual of [(41, 8), 166, 109]-NRT-code), using algebraic-geometric NRT-code AG(8;F,219P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(212, 3, F2, 8, 12) (dual of [(3, 8), 12, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(8;12,2) [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(2187, 44, F2, 8, 120) (dual of [(44, 8), 165, 121]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 44, F2, 8, 119) (dual of [(44, 8), 165, 120]-NRT-code) | [i] | ||