Information on Result #1177766
Linear OOA(2143, 44, F2, 8, 77) (dual of [(44, 8), 209, 78]-NRT-code), using construction X applied to AG(8;F,250P) ⊂ AG(8;F,263P) based on
- linear OOA(2131, 41, F2, 8, 77) (dual of [(41, 8), 197, 78]-NRT-code), using algebraic-geometric NRT-code AG(8;F,250P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2118, 41, F2, 8, 64) (dual of [(41, 8), 210, 65]-NRT-code), using algebraic-geometric NRT-code AG(8;F,263P) [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(2143, 44, F2, 8, 76) (dual of [(44, 8), 209, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2143, 44, F2, 8, 75) (dual of [(44, 8), 209, 76]-NRT-code) | [i] | ||