Information on Result #941818
Linear OOA(3129, 66, F3, 2, 103) (dual of [(66, 2), 3, 104]-NRT-code), using juxtaposition based on
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3115, 59, F3, 2, 92) (dual of [(59, 2), 3, 93]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code) (see above)
- linear OOA(3101, 52, F3, 2, 81) (dual of [(52, 2), 3, 82]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code) (see above)
- linear OOA(387, 45, F3, 2, 70) (dual of [(45, 2), 3, 71]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(39, 6, F3, 2, 8) (dual of [(6, 2), 3, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7 (see above)
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- linear OOA(375, 39, F3, 2, 61) (dual of [(39, 2), 3, 62]-NRT-code), using
- 1 step truncation [i] based on linear OOA(376, 40, F3, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(376, 40, F3, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code), using
- linear OOA(39, 6, F3, 2, 8) (dual of [(6, 2), 3, 9]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- juxtaposition [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(3143, 73, F3, 2, 114) (dual of [(73, 2), 3, 115]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(3129, 33, F3, 4, 103) (dual of [(33, 4), 3, 104]-NRT-code) | [i] | OOA Folding | |