Information on Result #1092756
Linear OOA(2170, 56, F2, 4, 82) (dual of [(56, 4), 54, 83]-NRT-code), using construction X applied to AG(4;F,14P) ⊂ AG(4;F,18P) based on
- linear OOA(2137, 42, F2, 4, 83) (dual of [(42, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,14P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2113, 42, F2, 4, 59) (dual of [(42, 4), 55, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,18P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(233, 14, F2, 4, 22) (dual of [(14, 4), 23, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,33P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2170, 28, F2, 7, 82) (dual of [(28, 7), 26, 83]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2170, 28, F2, 8, 82) (dual of [(28, 8), 54, 83]-NRT-code) | [i] | ||