Information on Result #1088715
Linear OOA(2109, 38, F2, 4, 57) (dual of [(38, 4), 43, 58]-NRT-code), using construction X applied to AG(4;F,70P) ⊂ AG(4;F,82P) based on
- linear OOA(296, 32, F2, 4, 57) (dual of [(32, 4), 32, 58]-NRT-code), using algebraic-geometric NRT-code AG(4;F,70P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(284, 32, F2, 4, 45) (dual of [(32, 4), 44, 46]-NRT-code), using algebraic-geometric NRT-code AG(4;F,82P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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(2109, 38, F2, 4, 56) (dual of [(38, 4), 43, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 19, F2, 7, 57) (dual of [(19, 7), 24, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2109, 19, F2, 8, 57) (dual of [(19, 8), 43, 58]-NRT-code) | [i] | ||