Information on Result #909333
Linear OOA(3141, 72, F3, 2, 111) (dual of [(72, 2), 3, 112]-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(3135, 69, F3, 2, 107) (dual of [(69, 2), 3, 108]-NRT-code), using
- 4 step truncation [i] based on linear OOA(3139, 71, F3, 2, 111) (dual of [(71, 2), 3, 112]-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(3125, 64, F3, 2, 100) (dual of [(64, 2), 3, 101]-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(3111, 57, F3, 2, 89) (dual of [(57, 2), 3, 90]-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(397, 50, F3, 2, 78) (dual of [(50, 2), 3, 79]-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(383, 43, F3, 2, 67) (dual of [(43, 2), 3, 68]-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(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(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- 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
- 4 step truncation [i] based on linear OOA(3139, 71, F3, 2, 111) (dual of [(71, 2), 3, 112]-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(3141, 72, F3, 2, 110) (dual of [(72, 2), 3, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3141, 72, F3, 2, 109) (dual of [(72, 2), 3, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(3141, 72, F3, 2, 108) (dual of [(72, 2), 3, 109]-NRT-code) | [i] | ||