Information on Result #1088736
Linear OOA(2187, 52, F2, 4, 110) (dual of [(52, 4), 21, 111]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,59P) based on
- linear OOA(2127, 32, F2, 4, 127) (dual of [(32, 4), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2107, 32, F2, 4, 68) (dual of [(32, 4), 21, 69]-NRT-code), using algebraic-geometric NRT-code AG(4;F,59P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(260, 20, F2, 4, 41) (dual of [(20, 4), 20, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,38P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, 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(2187, 52, F2, 4, 109) (dual of [(52, 4), 21, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 52, F2, 4, 108) (dual of [(52, 4), 21, 109]-NRT-code) | [i] | ||
| 3 | Linear OOA(2187, 26, F2, 8, 110) (dual of [(26, 8), 21, 111]-NRT-code) | [i] | OOA Folding | |