Information on Result #1093091
Linear OOA(2191, 62, F2, 4, 88) (dual of [(62, 4), 57, 89]-NRT-code), using construction X applied to AG(4;F,51P) ⊂ AG(4;F,63P) based on
- linear OOA(2158, 48, F2, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) 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(2134, 48, F2, 4, 65) (dual of [(48, 4), 58, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,63P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(233, 14, F2, 4, 22) (dual of [(14, 4), 23, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,33P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2191, 62, F2, 4, 87) (dual of [(62, 4), 57, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2191, 31, F2, 7, 88) (dual of [(31, 7), 26, 89]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2191, 31, F2, 8, 88) (dual of [(31, 8), 57, 89]-NRT-code) | [i] | ||