Information on Result #1163350
Linear OOA(2256, 55, F2, 7, 161) (dual of [(55, 7), 129, 162]-NRT-code), using construction X applied to AG(7;F,87P) ⊂ AG(7;F,99P) based on
- linear OOA(2230, 48, F2, 7, 161) (dual of [(48, 7), 106, 162]-NRT-code), using algebraic-geometric NRT-code AG(7;F,87P) 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(2206, 48, F2, 7, 137) (dual of [(48, 7), 130, 138]-NRT-code), using algebraic-geometric NRT-code AG(7;F,99P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(226, 7, F2, 7, 23) (dual of [(7, 7), 23, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,25P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, 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(2256, 55, F2, 7, 160) (dual of [(55, 7), 129, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 55, F2, 7, 159) (dual of [(55, 7), 129, 160]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 55, F2, 7, 158) (dual of [(55, 7), 129, 159]-NRT-code) | [i] | ||