Information on Result #1092771
Linear OOA(2182, 52, F2, 4, 105) (dual of [(52, 4), 26, 106]-NRT-code), using construction X applied to AG(4;F,43P) ⊂ AG(4;F,47P) based on
- linear OOA(2174, 48, F2, 4, 105) (dual of [(48, 4), 18, 106]-NRT-code), using algebraic-geometric NRT-code AG(4;F,43P) 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(28, 4, F2, 4, 7) (dual of [(4, 4), 8, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-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(2182, 52, F2, 4, 104) (dual of [(52, 4), 26, 105]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2181, 51, F2, 4, 104) (dual of [(51, 4), 23, 105]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2182, 26, F2, 8, 105) (dual of [(26, 8), 26, 106]-NRT-code) | [i] | OOA Folding | |