Information on Result #2992609
Linear OOA(2254, 60, F2, 8, 132) (dual of [(60, 8), 226, 133]-NRT-code), using strength reduction based on linear OOA(2254, 60, F2, 8, 133) (dual of [(60, 8), 226, 134]-NRT-code), using
- construction X applied to AG(8;F,125P) ⊂ AG(8;F,147P) [i] based on
- linear OOA(2202, 48, F2, 8, 133) (dual of [(48, 8), 182, 134]-NRT-code), using algebraic-geometric NRT-code AG(8;F,125P) 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(2158, 48, F2, 8, 89) (dual of [(48, 8), 226, 90]-NRT-code), using algebraic-geometric NRT-code AG(8;F,147P) 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(2255, 60, F2, 8, 132) (dual of [(60, 8), 225, 133]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2257, 60, F2, 8, 132) (dual of [(60, 8), 223, 133]-NRT-code) | [i] | ||