Information on Result #2990773
Linear OOA(2234, 60, F2, 8, 112) (dual of [(60, 8), 246, 113]-NRT-code), using strength reduction based on linear OOA(2234, 60, F2, 8, 113) (dual of [(60, 8), 246, 114]-NRT-code), using
- construction X applied to AG(8;F,135P) ⊂ AG(8;F,157P) [i] 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(2138, 48, F2, 8, 69) (dual of [(48, 8), 246, 70]-NRT-code), using algebraic-geometric NRT-code AG(8;F,157P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(252, 12, F2, 8, 43) (dual of [(12, 8), 44, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,52P) [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, 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(2235, 60, F2, 8, 112) (dual of [(60, 8), 245, 113]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2237, 60, F2, 8, 112) (dual of [(60, 8), 243, 113]-NRT-code) | [i] | ||