Information on Result #634926
Linear OA(4238, 256, F4, 149) (dual of [256, 18, 150]-code), using concatenation of two codes based on
- linear OA(1655, 64, F16, 49) (dual of [64, 9, 50]-code), using
- algebraic-geometric code AG(F,14P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,14P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4238, 256, F4, 148) (dual of [256, 18, 149]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(4238, 128, F4, 2, 149) (dual of [(128, 2), 18, 150]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4238, 85, F4, 3, 149) (dual of [(85, 3), 17, 150]-NRT-code) | [i] | ||