Information on Result #2843757
Linear OOA(2195, 59, F2, 5, 94) (dual of [(59, 5), 100, 95]-NRT-code), using strength reduction based on linear OOA(2195, 59, F2, 5, 95) (dual of [(59, 5), 100, 96]-NRT-code), using
- construction X applied to AG(5;F,72P) ⊂ AG(5;F,84P) [i] based on
- linear OOA(2164, 48, F2, 5, 95) (dual of [(48, 5), 76, 96]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) 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, 5, 71) (dual of [(48, 5), 100, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,84P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(231, 11, F2, 5, 23) (dual of [(11, 5), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,31P) [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(2196, 59, F2, 5, 94) (dual of [(59, 5), 99, 95]-NRT-code) | [i] | OOA Duplication |