Information on Result #1178752
Linear OOA(2244, 61, F2, 8, 117) (dual of [(61, 8), 244, 118]-NRT-code), using construction X applied to AG(8;F,133P) ⊂ AG(8;F,157P) based on
- linear OOA(2186, 48, F2, 8, 117) (dual of [(48, 8), 198, 118]-NRT-code), using algebraic-geometric NRT-code AG(8;F,133P) 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(2138, 48, F2, 8, 69) (dual of [(48, 8), 246, 70]-NRT-code), using algebraic-geometric NRT-code AG(8;F,157P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(258, 13, F2, 8, 47) (dual of [(13, 8), 46, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 14, F2, 8, 47) (dual of [(14, 8), 54, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,64P) [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(258, 14, F2, 8, 47) (dual of [(14, 8), 54, 48]-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(2244, 61, F2, 8, 116) (dual of [(61, 8), 244, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2244, 61, F2, 8, 115) (dual of [(61, 8), 244, 116]-NRT-code) | [i] | ||