Information on Result #634922
Linear OA(4238, 260, F4, 146) (dual of [260, 22, 147]-code), using concatenation of two codes based on
- linear OA(1654, 65, F16, 48) (dual of [65, 11, 49]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,16P) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4237, 259, F4, 145) (dual of [259, 22, 146]-code) | [i] | Truncation | |
| 2 | Linear OA(4236, 258, F4, 144) (dual of [258, 22, 145]-code) | [i] | ||
| 3 | Linear OOA(4238, 130, F4, 2, 146) (dual of [(130, 2), 22, 147]-NRT-code) | [i] | OOA Folding | |