Information on Result #1178702
Linear OOA(2230, 59, F2, 8, 112) (dual of [(59, 8), 242, 113]-NRT-code), using construction X applied to AG(8;F,135P) ⊂ AG(8;F,156P) based on
- linear OOA(2182, 48, F2, 8, 113) (dual of [(48, 8), 202, 114]-NRT-code), using algebraic-geometric NRT-code AG(8;F,135P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2140, 48, F2, 8, 71) (dual of [(48, 8), 244, 72]-NRT-code), using algebraic-geometric NRT-code AG(8;F,156P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(248, 11, F2, 8, 40) (dual of [(11, 8), 40, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,47P) [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, using
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(2230, 59, F2, 8, 111) (dual of [(59, 8), 242, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2230, 59, F2, 8, 110) (dual of [(59, 8), 242, 111]-NRT-code) | [i] | ||