Information on Result #915974
Linear OOA(382, 48, F3, 2, 50) (dual of [(48, 2), 14, 51]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(917, 12, F9, 2, 16) (dual of [(12, 2), 7, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(917, 16, F9, 2, 16) (dual of [(16, 2), 15, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(917, 16, F9, 2, 16) (dual of [(16, 2), 15, 17]-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(383, 48, F3, 2, 50) (dual of [(48, 2), 13, 51]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(381, 47, F3, 2, 49) (dual of [(47, 2), 13, 50]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(380, 47, F3, 2, 48) (dual of [(47, 2), 14, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(379, 46, F3, 2, 47) (dual of [(46, 2), 13, 48]-NRT-code) | [i] | ||
| 5 | Linear OOA(382, 24, F3, 4, 50) (dual of [(24, 4), 14, 51]-NRT-code) | [i] | OOA Folding | |