Information on Result #909343
Linear OOA(3211, 107, F3, 2, 166) (dual of [(107, 2), 3, 167]-NRT-code), using juxtaposition based on
- linear OOA(33, 3, F3, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,3) [i]
- linear OOA(3205, 104, F3, 2, 162) (dual of [(104, 2), 3, 163]-NRT-code), using
- strength reduction [i] based on linear OOA(3205, 104, F3, 2, 163) (dual of [(104, 2), 3, 164]-NRT-code), using
- juxtaposition [i] 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(3191, 97, F3, 2, 152) (dual of [(97, 2), 3, 153]-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(3177, 90, F3, 2, 141) (dual of [(90, 2), 3, 142]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [i]
- linear OOA(3169, 86, F3, 2, 135) (dual of [(86, 2), 3, 136]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code) (see above)
- linear OOA(3161, 82, F3, 2, 129) (dual of [(82, 2), 3, 130]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code) (see above)
- linear OOA(3153, 78, F3, 2, 123) (dual of [(78, 2), 3, 124]-NRT-code), using
- repeating each code word 2 times [i] based on 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
- repeating each code word 2 times [i] based on linear OOA(375, 39, F3, 2, 61) (dual of [(39, 2), 3, 62]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(3205, 104, F3, 2, 163) (dual of [(104, 2), 3, 164]-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(3211, 107, F3, 2, 165) (dual of [(107, 2), 3, 166]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3211, 107, F3, 2, 164) (dual of [(107, 2), 3, 165]-NRT-code) | [i] | ||
| 3 | Linear OOA(3211, 107, F3, 2, 163) (dual of [(107, 2), 3, 164]-NRT-code) | [i] | ||
| 4 | Linear OOA(3211, 107, F3, 2, 162) (dual of [(107, 2), 3, 163]-NRT-code) | [i] | ||
| 5 | Linear OOA(3211, 107, F3, 2, 161) (dual of [(107, 2), 3, 162]-NRT-code) | [i] | ||