Information on Result #915975
Linear OOA(378, 44, F3, 2, 50) (dual of [(44, 2), 10, 51]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(917, 11, F9, 2, 16) (dual of [(11, 2), 5, 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(378, 44, F3, 2, 49) (dual of [(44, 2), 10, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(376, 43, F3, 2, 48) (dual of [(43, 2), 10, 49]-NRT-code) | [i] | Truncation for OOAs | |
3 | Linear OOA(374, 42, F3, 2, 46) (dual of [(42, 2), 10, 47]-NRT-code) | [i] | ||
4 | Linear OOA(378, 22, F3, 4, 50) (dual of [(22, 4), 10, 51]-NRT-code) | [i] | OOA Folding |