Information on Result #918789
Linear OOA(479, 46, F4, 2, 51) (dual of [(46, 2), 13, 52]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,22P) based on
- linear OOA(451, 26, F4, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- linear OOA(439, 26, F4, 2, 29) (dual of [(26, 2), 13, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,22P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27 (see above)
- linear OOA(428, 20, F4, 2, 21) (dual of [(20, 2), 12, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(428, 21, F4, 2, 21) (dual of [(21, 2), 14, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(428, 21, F4, 2, 21) (dual of [(21, 2), 14, 22]-NRT-code), 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(477, 45, F4, 2, 49) (dual of [(45, 2), 13, 50]-NRT-code) | [i] | Truncation for OOAs | |