Information on Result #1149198
Linear OOA(2254, 55, F2, 6, 163) (dual of [(55, 6), 76, 164]-NRT-code), using construction X applied to AG(6;F,62P) ⊂ AG(6;F,72P) based on
- linear OOA(2232, 48, F2, 6, 163) (dual of [(48, 6), 56, 164]-NRT-code), using algebraic-geometric NRT-code AG(6;F,62P) 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(2212, 48, F2, 6, 143) (dual of [(48, 6), 76, 144]-NRT-code), using algebraic-geometric NRT-code AG(6;F,72P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 7, F2, 6, 19) (dual of [(7, 6), 20, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,22P) [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(2254, 55, F2, 6, 162) (dual of [(55, 6), 76, 163]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 55, F2, 6, 161) (dual of [(55, 6), 76, 162]-NRT-code) | [i] | ||
| 3 | Linear OOA(2254, 55, F2, 6, 160) (dual of [(55, 6), 76, 161]-NRT-code) | [i] | ||
| 4 | Linear OOA(2255, 55, F2, 6, 163) (dual of [(55, 6), 75, 164]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2257, 55, F2, 6, 163) (dual of [(55, 6), 73, 164]-NRT-code) | [i] | ||