Information on Result #1163838
Linear OOA(2246, 63, F2, 7, 117) (dual of [(63, 7), 195, 118]-NRT-code), using construction X applied to AG(7;F,109P) ⊂ AG(7;F,133P) based on
- linear OOA(2186, 48, F2, 7, 117) (dual of [(48, 7), 150, 118]-NRT-code), using algebraic-geometric NRT-code AG(7;F,109P) 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, 7, 69) (dual of [(48, 7), 198, 70]-NRT-code), using algebraic-geometric NRT-code AG(7;F,133P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(260, 15, F2, 7, 47) (dual of [(15, 7), 45, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,57P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2246, 63, F2, 7, 116) (dual of [(63, 7), 195, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2246, 63, F2, 7, 115) (dual of [(63, 7), 195, 116]-NRT-code) | [i] | ||