Information on Result #1149329
Linear OOA(2177, 56, F2, 6, 81) (dual of [(56, 6), 159, 82]-NRT-code), using construction X applied to AG(6;F,103P) ⊂ AG(6;F,115P) based on
- linear OOA(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2126, 48, F2, 6, 57) (dual of [(48, 6), 162, 58]-NRT-code), using algebraic-geometric NRT-code AG(6;F,115P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(227, 8, F2, 6, 23) (dual of [(8, 6), 21, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,24P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, 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(2177, 56, F2, 6, 80) (dual of [(56, 6), 159, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |