Information on Result #1149755
Linear OOA(2253, 64, F2, 6, 128) (dual of [(64, 6), 131, 129]-NRT-code), using construction X applied to AG(6;F,79P) ⊂ AG(6;F,100P) based on
- linear OOA(2198, 48, F2, 6, 129) (dual of [(48, 6), 90, 130]-NRT-code), using algebraic-geometric NRT-code AG(6;F,79P) 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(2156, 48, F2, 6, 87) (dual of [(48, 6), 132, 88]-NRT-code), using algebraic-geometric NRT-code AG(6;F,100P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(255, 16, F2, 6, 40) (dual of [(16, 6), 41, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 17, F2, 6, 40) (dual of [(17, 6), 47, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,61P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(255, 17, F2, 6, 40) (dual of [(17, 6), 47, 41]-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(2253, 64, F2, 6, 127) (dual of [(64, 6), 131, 128]-NRT-code) | [i] | Strength Reduction for OOAs | |