Information on Result #1163851
Linear OOA(2255, 64, F2, 7, 122) (dual of [(64, 7), 193, 123]-NRT-code), using construction X applied to AG(7;F,106P) ⊂ AG(7;F,131P) based on
- linear OOA(2192, 48, F2, 7, 123) (dual of [(48, 7), 144, 124]-NRT-code), using algebraic-geometric NRT-code AG(7;F,106P) 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(2142, 48, F2, 7, 73) (dual of [(48, 7), 194, 74]-NRT-code), using algebraic-geometric NRT-code AG(7;F,131P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(263, 16, F2, 7, 48) (dual of [(16, 7), 49, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(263, 17, F2, 7, 48) (dual of [(17, 7), 56, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,70P) [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(263, 17, F2, 7, 48) (dual of [(17, 7), 56, 49]-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(2255, 64, F2, 7, 121) (dual of [(64, 7), 193, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 64, F2, 7, 120) (dual of [(64, 7), 193, 121]-NRT-code) | [i] | ||