Information on Result #1121943
Linear OOA(286, 35, F2, 5, 40) (dual of [(35, 5), 89, 41]-NRT-code), using construction X applied to AG(5;F,119P) ⊂ AG(5;F,127P) based on
- linear OOA(279, 32, F2, 5, 40) (dual of [(32, 5), 81, 41]-NRT-code), using algebraic-geometric NRT-code AG(5;F,119P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(271, 32, F2, 5, 32) (dual of [(32, 5), 89, 33]-NRT-code), using algebraic-geometric NRT-code AG(5;F,127P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;8,2) [i]
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(286, 35, F2, 5, 39) (dual of [(35, 5), 89, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2220, 77, F2, 5, 80) (dual of [(77, 5), 165, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
3 | Linear OOA(2221, 77, F2, 5, 81) (dual of [(77, 5), 164, 82]-NRT-code) | [i] |