Information on Result #1088456
Linear OOA(292, 27, F2, 4, 56) (dual of [(27, 4), 16, 57]-NRT-code), using construction X applied to AG(4;F,23P) ⊂ AG(4;F,36P) based on
- linear OOA(277, 20, F2, 4, 56) (dual of [(20, 4), 3, 57]-NRT-code), using algebraic-geometric NRT-code AG(4;F,23P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(264, 20, F2, 4, 43) (dual of [(20, 4), 16, 44]-NRT-code), using algebraic-geometric NRT-code AG(4;F,36P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
- linear OOA(215, 7, F2, 4, 12) (dual of [(7, 4), 13, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,15P) [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(292, 27, F2, 4, 55) (dual of [(27, 4), 16, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(292, 27, F2, 4, 54) (dual of [(27, 4), 16, 55]-NRT-code) | [i] | ||