Information on Result #1149635
Linear OOA(2222, 61, F2, 6, 109) (dual of [(61, 6), 144, 110]-NRT-code), using construction X applied to AG(6;F,89P) ⊂ AG(6;F,106P) based on
- linear OOA(2178, 48, F2, 6, 109) (dual of [(48, 6), 110, 110]-NRT-code), using algebraic-geometric NRT-code AG(6;F,89P) 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(2144, 48, F2, 6, 75) (dual of [(48, 6), 144, 76]-NRT-code), using algebraic-geometric NRT-code AG(6;F,106P) 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(2222, 61, F2, 6, 108) (dual of [(61, 6), 144, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 61, F2, 6, 107) (dual of [(61, 6), 144, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 61, F2, 6, 109) (dual of [(61, 6), 143, 110]-NRT-code) | [i] | OOA Duplication | |