Information on Result #1178582
Linear OOA(2246, 57, F2, 8, 139) (dual of [(57, 8), 210, 140]-NRT-code), using construction X applied to AG(8;F,122P) ⊂ AG(8;F,139P) based on
- linear OOA(2208, 48, F2, 8, 139) (dual of [(48, 8), 176, 140]-NRT-code), using algebraic-geometric NRT-code AG(8;F,122P) 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(2174, 48, F2, 8, 105) (dual of [(48, 8), 210, 106]-NRT-code), using algebraic-geometric NRT-code AG(8;F,139P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(238, 9, F2, 8, 33) (dual of [(9, 8), 34, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,38P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, 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, 57, F2, 8, 138) (dual of [(57, 8), 210, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2246, 57, F2, 8, 137) (dual of [(57, 8), 210, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2247, 57, F2, 8, 139) (dual of [(57, 8), 209, 140]-NRT-code) | [i] | OOA Duplication | |