Information on Result #1163136
Linear OOA(2154, 52, F2, 7, 71) (dual of [(52, 7), 210, 72]-NRT-code), using construction X applied to AG(7;F,132P) ⊂ AG(7;F,139P) based on
- linear OOA(2140, 48, F2, 7, 71) (dual of [(48, 7), 196, 72]-NRT-code), using algebraic-geometric NRT-code AG(7;F,132P) 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(2126, 48, F2, 7, 57) (dual of [(48, 7), 210, 58]-NRT-code), using algebraic-geometric NRT-code AG(7;F,139P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(214, 4, F2, 7, 13) (dual of [(4, 7), 14, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(214, 5, F2, 6, 13) (dual of [(5, 6), 16, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,16P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(214, 5, F2, 6, 13) (dual of [(5, 6), 16, 14]-NRT-code), 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(2154, 52, F2, 7, 70) (dual of [(52, 7), 210, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2155, 52, F2, 7, 71) (dual of [(52, 7), 209, 72]-NRT-code) | [i] | OOA Duplication | |