Information on Result #634927
Linear OA(4242, 260, F4, 152) (dual of [260, 18, 153]-code), using concatenation of two codes based on
- linear OA(1656, 65, F16, 50) (dual of [65, 9, 51]-code), using
- extended algebraic-geometric code AGe(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]
- extended algebraic-geometric code AGe(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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4242, 260, F4, 151) (dual of [260, 18, 152]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4241, 259, F4, 151) (dual of [259, 18, 152]-code) | [i] | Truncation | |
| 3 | Linear OA(4239, 257, F4, 149) (dual of [257, 18, 150]-code) | [i] | ||
| 4 | Linear OOA(4242, 130, F4, 2, 152) (dual of [(130, 2), 18, 153]-NRT-code) | [i] | OOA Folding | |