Information on Result #1049605
Linear OOA(4190, 68, F4, 3, 143) (dual of [(68, 3), 14, 144]-NRT-code), using juxtaposition based on
- linear OOA(485, 33, F4, 3, 70) (dual of [(33, 3), 14, 71]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- 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) [i] 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 (see above)
- 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
- construction X applied to AG(3;F,23P) ⊂ AG(3;F,28P) [i] based on
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(4190, 68, F4, 3, 142) (dual of [(68, 3), 14, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4190, 68, F4, 3, 141) (dual of [(68, 3), 14, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(4190, 68, F4, 3, 140) (dual of [(68, 3), 14, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(4189, 67, F4, 3, 142) (dual of [(67, 3), 12, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4188, 67, F4, 3, 141) (dual of [(67, 3), 13, 142]-NRT-code) | [i] | ||
| 6 | Linear OOA(4187, 67, F4, 3, 140) (dual of [(67, 3), 14, 141]-NRT-code) | [i] | ||