Information on Result #1148688
Linear OOA(2143, 46, F2, 6, 77) (dual of [(46, 6), 133, 78]-NRT-code), using construction X applied to AG(6;F,29P) ⊂ AG(6;F,31P) based on
- linear OOA(2131, 42, F2, 6, 77) (dual of [(42, 6), 121, 78]-NRT-code), using algebraic-geometric NRT-code AG(6;F,29P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2119, 42, F2, 6, 65) (dual of [(42, 6), 133, 66]-NRT-code), using algebraic-geometric NRT-code AG(6;F,31P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(212, 4, F2, 6, 11) (dual of [(4, 6), 12, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,13P) [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(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-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(2143, 46, F2, 6, 76) (dual of [(46, 6), 133, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2143, 46, F2, 6, 75) (dual of [(46, 6), 133, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2144, 46, F2, 6, 77) (dual of [(46, 6), 132, 78]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2145, 46, F2, 6, 77) (dual of [(46, 6), 131, 78]-NRT-code) | [i] | ||
| 5 | Linear OOA(2138, 46, F2, 5, 72) (dual of [(46, 5), 92, 73]-NRT-code) | [i] | m-Reduction for OOAs | |