Information on Result #635232
Linear OA(4247, 265, F4, 155) (dual of [265, 18, 156]-code), using concatenation of two codes based on
- linear OA(1644, 53, F16, 38) (dual of [53, 9, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using
- algebraic-geometric code AG(F,25P) [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,25P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(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(4247, 265, F4, 154) (dual of [265, 18, 155]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4245, 263, F4, 153) (dual of [263, 18, 154]-code) | [i] | Truncation | |
| 3 | Linear OA(4244, 262, F4, 152) (dual of [262, 18, 153]-code) | [i] | ||