Information on Result #2795495
Linear OOA(2179, 53, F2, 4, 98) (dual of [(53, 4), 33, 99]-NRT-code), using 21 times duplication based on linear OOA(2178, 53, F2, 4, 98) (dual of [(53, 4), 34, 99]-NRT-code), using
- strength reduction [i] based on linear OOA(2178, 53, F2, 4, 99) (dual of [(53, 4), 34, 100]-NRT-code), using
- construction X applied to AG(4;F,46P) ⊂ AG(4;F,51P) [i] based on
- linear OOA(2168, 48, F2, 4, 99) (dual of [(48, 4), 24, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,46P) 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, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- construction X applied to AG(4;F,46P) ⊂ AG(4;F,51P) [i] based on
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
None.