Information on Result #1088291
Linear OOA(279, 24, F2, 4, 50) (dual of [(24, 4), 17, 51]-NRT-code), using construction X applied to AG(4;F,25P) ⊂ AG(4;F,35P) based on
- linear OOA(269, 19, F2, 4, 50) (dual of [(19, 4), 7, 51]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(259, 19, F2, 4, 40) (dual of [(19, 4), 17, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(279, 24, F2, 4, 49) (dual of [(24, 4), 17, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(279, 12, F2, 7, 50) (dual of [(12, 7), 5, 51]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(279, 12, F2, 8, 50) (dual of [(12, 8), 17, 51]-NRT-code) | [i] | ||