Information on Result #1032042
Linear OOA(491, 35, F4, 3, 72) (dual of [(35, 3), 14, 73]-NRT-code), using construction X applied to AG(3;F,23P) ⊂ AG(3;F,28P) based on
- linear OOA(487, 32, F4, 3, 72) (dual of [(32, 3), 9, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,23P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(482, 32, F4, 3, 67) (dual of [(32, 3), 14, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-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(491, 35, F4, 3, 71) (dual of [(35, 3), 14, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4190, 68, F4, 3, 143) (dual of [(68, 3), 14, 144]-NRT-code) | [i] | Juxtaposition for OOAs | |