Information on Result #916193
Linear OOA(3250, 148, F3, 2, 131) (dual of [(148, 2), 46, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(951, 37, F9, 2, 43) (dual of [(37, 2), 23, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(951, 39, F9, 2, 43) (dual of [(39, 2), 27, 44]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- discarding factors / shortening the dual code based on linear OOA(951, 39, F9, 2, 43) (dual of [(39, 2), 27, 44]-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(3250, 148, F3, 2, 130) (dual of [(148, 2), 46, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3249, 147, F3, 2, 130) (dual of [(147, 2), 45, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3250, 74, F3, 4, 131) (dual of [(74, 4), 46, 132]-NRT-code) | [i] | OOA Folding | |