Information on Result #1087112
Linear OOA(3237, 67, F3, 4, 160) (dual of [(67, 4), 31, 161]-NRT-code), using juxtaposition based on
- linear OOA(393, 31, F3, 4, 72) (dual of [(31, 4), 31, 73]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(393, 32, F3, 4, 72) (dual of [(32, 4), 35, 73]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,55P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(393, 32, F3, 4, 72) (dual of [(32, 4), 35, 73]-NRT-code), using
- linear OOA(3113, 36, F3, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,56P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,28P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
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(3237, 67, F3, 4, 159) (dual of [(67, 4), 31, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3237, 67, F3, 4, 158) (dual of [(67, 4), 31, 159]-NRT-code) | [i] | ||
3 | Linear OOA(3237, 67, F3, 4, 157) (dual of [(67, 4), 31, 158]-NRT-code) | [i] | ||
4 | Linear OOA(3237, 67, F3, 4, 156) (dual of [(67, 4), 31, 157]-NRT-code) | [i] | ||
5 | Linear OOA(3237, 67, F3, 4, 155) (dual of [(67, 4), 31, 156]-NRT-code) | [i] | ||
6 | Linear OOA(3237, 67, F3, 4, 154) (dual of [(67, 4), 31, 155]-NRT-code) | [i] | ||
7 | Linear OOA(3237, 67, F3, 4, 153) (dual of [(67, 4), 31, 154]-NRT-code) | [i] | ||
8 | Linear OOA(3237, 67, F3, 4, 152) (dual of [(67, 4), 31, 153]-NRT-code) | [i] |