Information on Result #1092823
Linear OOA(2186, 53, F2, 4, 107) (dual of [(53, 4), 26, 108]-NRT-code), using construction X applied to AG(4;F,42P) ⊂ AG(4;F,47P) based on
- linear OOA(2176, 48, F2, 4, 107) (dual of [(48, 4), 16, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,42P) 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(2166, 48, F2, 4, 97) (dual of [(48, 4), 26, 98]-NRT-code), using algebraic-geometric NRT-code AG(4;F,47P) 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
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(2186, 53, F2, 4, 106) (dual of [(53, 4), 26, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 53, F2, 4, 105) (dual of [(53, 4), 26, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2185, 52, F2, 4, 106) (dual of [(52, 4), 23, 107]-NRT-code) | [i] | Truncation for OOAs | |