Information on Result #1092879
Linear OOA(2163, 54, F2, 4, 81) (dual of [(54, 4), 53, 82]-NRT-code), using construction X applied to AG(4;F,55P) ⊂ AG(4;F,61P) based on
- linear OOA(2150, 48, F2, 4, 81) (dual of [(48, 4), 42, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) 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(2138, 48, F2, 4, 69) (dual of [(48, 4), 54, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,61P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(213, 6, F2, 4, 11) (dual of [(6, 4), 11, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,12P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2163, 54, F2, 4, 80) (dual of [(54, 4), 53, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 27, F2, 7, 81) (dual of [(27, 7), 26, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2163, 27, F2, 8, 81) (dual of [(27, 8), 53, 82]-NRT-code) | [i] | ||