Information on Result #1146686
Linear OOA(2254, 45, F2, 6, 190) (dual of [(45, 6), 16, 191]-NRT-code), using construction X applied to AG(6;F,0P) ⊂ AG(6;F,54P) based on
- linear OOA(2191, 32, F2, 6, 191) (dual of [(32, 6), 1, 192]-NRT-code), using algebraic-geometric NRT-code AG(6;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2176, 32, F2, 6, 137) (dual of [(32, 6), 16, 138]-NRT-code), using algebraic-geometric NRT-code AG(6;F,54P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(263, 13, F2, 6, 52) (dual of [(13, 6), 15, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(263, 14, F2, 6, 52) (dual of [(14, 6), 21, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,31P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(263, 14, F2, 6, 52) (dual of [(14, 6), 21, 53]-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(2254, 45, F2, 6, 189) (dual of [(45, 6), 16, 190]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 45, F2, 6, 188) (dual of [(45, 6), 16, 189]-NRT-code) | [i] | ||