Information on Result #916031
Linear OOA(3166, 104, F3, 2, 86) (dual of [(104, 2), 42, 87]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(931, 26, F9, 2, 28) (dual of [(26, 2), 21, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(931, 28, F9, 2, 28) (dual of [(28, 2), 25, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(931, 28, F9, 2, 28) (dual of [(28, 2), 25, 29]-NRT-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3166, 104, F3, 2, 85) (dual of [(104, 2), 42, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3166, 104, F3, 2, 84) (dual of [(104, 2), 42, 85]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 104, F3, 2, 86) (dual of [(104, 2), 41, 87]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3165, 103, F3, 2, 85) (dual of [(103, 2), 41, 86]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3164, 103, F3, 2, 84) (dual of [(103, 2), 42, 85]-NRT-code) | [i] | ||
| 6 | Linear OOA(3163, 102, F3, 2, 83) (dual of [(102, 2), 41, 84]-NRT-code) | [i] | ||
| 7 | Linear OOA(3166, 52, F3, 4, 86) (dual of [(52, 4), 42, 87]-NRT-code) | [i] | OOA Folding | |