Information on Result #1163444
Linear OOA(2257, 56, F2, 7, 157) (dual of [(56, 7), 135, 158]-NRT-code), using construction X applied to AG(7;F,89P) ⊂ AG(7;F,103P) based on
- linear OOA(2226, 48, F2, 7, 157) (dual of [(48, 7), 110, 158]-NRT-code), using algebraic-geometric NRT-code AG(7;F,89P) 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(2198, 48, F2, 7, 129) (dual of [(48, 7), 138, 130]-NRT-code), using algebraic-geometric NRT-code AG(7;F,103P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(231, 8, F2, 7, 27) (dual of [(8, 7), 25, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,28P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, 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(2257, 56, F2, 7, 156) (dual of [(56, 7), 135, 157]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 56, F2, 7, 155) (dual of [(56, 7), 135, 156]-NRT-code) | [i] | ||