Information on Result #1149647
Linear OOA(2198, 61, F2, 6, 85) (dual of [(61, 6), 168, 86]-NRT-code), using construction X applied to AG(6;F,101P) ⊂ AG(6;F,118P) based on
- linear OOA(2154, 48, F2, 6, 85) (dual of [(48, 6), 134, 86]-NRT-code), using algebraic-geometric NRT-code AG(6;F,101P) 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(2120, 48, F2, 6, 51) (dual of [(48, 6), 168, 52]-NRT-code), using algebraic-geometric NRT-code AG(6;F,118P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(244, 13, F2, 6, 33) (dual of [(13, 6), 34, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(244, 14, F2, 6, 33) (dual of [(14, 6), 40, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,50P) [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(244, 14, F2, 6, 33) (dual of [(14, 6), 40, 34]-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(2199, 61, F2, 6, 85) (dual of [(61, 6), 167, 86]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2197, 60, F2, 6, 84) (dual of [(60, 6), 163, 85]-NRT-code) | [i] | Truncation for OOAs | |