Information on Result #1088597
Linear OOA(2124, 36, F2, 4, 77) (dual of [(36, 4), 20, 78]-NRT-code), using construction X applied to AG(4;F,50P) ⊂ AG(4;F,58P) based on
- linear OOA(2116, 32, F2, 4, 77) (dual of [(32, 4), 12, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,50P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2108, 32, F2, 4, 69) (dual of [(32, 4), 20, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,58P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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(2124, 36, F2, 4, 76) (dual of [(36, 4), 20, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2124, 18, F2, 8, 77) (dual of [(18, 8), 20, 78]-NRT-code) | [i] | OOA Folding | |