Information on Result #1087226
Linear OOA(3231, 63, F3, 4, 170) (dual of [(63, 4), 21, 171]-NRT-code), using juxtaposition based on
- linear OOA(387, 27, F3, 4, 72) (dual of [(27, 4), 21, 73]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(387, 28, F3, 4, 72) (dual of [(28, 4), 25, 73]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,39P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(387, 28, F3, 4, 72) (dual of [(28, 4), 25, 73]-NRT-code), using
- linear OOA(3123, 36, F3, 4, 97) (dual of [(36, 4), 21, 98]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,46P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,23P) 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(3231, 63, F3, 4, 169) (dual of [(63, 4), 21, 170]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3231, 63, F3, 4, 168) (dual of [(63, 4), 21, 169]-NRT-code) | [i] | ||
3 | Linear OOA(3231, 63, F3, 4, 167) (dual of [(63, 4), 21, 168]-NRT-code) | [i] |