Information on Result #2846489
Linear OOA(2232, 60, F2, 5, 128) (dual of [(60, 5), 68, 129]-NRT-code), using strength reduction based on linear OOA(2232, 60, F2, 5, 129) (dual of [(60, 5), 68, 130]-NRT-code), using
- construction X applied to AG(5;F,55P) ⊂ AG(5;F,68P) [i] based on
- linear OOA(2198, 48, F2, 5, 129) (dual of [(48, 5), 42, 130]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) 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(2172, 48, F2, 5, 103) (dual of [(48, 5), 68, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,68P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(234, 12, F2, 5, 25) (dual of [(12, 5), 26, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [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(2233, 60, F2, 5, 128) (dual of [(60, 5), 67, 129]-NRT-code) | [i] | OOA Duplication | |