Information on Result #1177566
Linear OOA(2243, 44, F2, 8, 177) (dual of [(44, 8), 109, 178]-NRT-code), using construction X applied to AG(8;F,150P) ⊂ AG(8;F,163P) based on
- linear OOA(2231, 41, F2, 8, 177) (dual of [(41, 8), 97, 178]-NRT-code), using algebraic-geometric NRT-code AG(8;F,150P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2218, 41, F2, 8, 164) (dual of [(41, 8), 110, 165]-NRT-code), using algebraic-geometric NRT-code AG(8;F,163P) [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(2243, 44, F2, 8, 176) (dual of [(44, 8), 109, 177]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2243, 44, F2, 8, 175) (dual of [(44, 8), 109, 176]-NRT-code) | [i] | ||