Information on Result #635238
Linear OA(4260, 280, F4, 163) (dual of [280, 20, 164]-code), using concatenation of two codes based on
- linear OA(1646, 56, F16, 40) (dual of [56, 10, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using
- algebraic-geometric code AG(F,23P) [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,23P) [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(1646, 64, F16, 40) (dual of [64, 18, 41]-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(4260, 280, F4, 162) (dual of [280, 20, 163]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4260, 280, F4, 161) (dual of [280, 20, 162]-code) | [i] | ||
| 3 | Linear OA(4260, 280, F4, 160) (dual of [280, 20, 161]-code) | [i] | ||
| 4 | Linear OA(4259, 279, F4, 162) (dual of [279, 20, 163]-code) | [i] | Truncation | |
| 5 | Linear OA(4258, 278, F4, 161) (dual of [278, 20, 162]-code) | [i] | ||
| 6 | Linear OA(4257, 277, F4, 160) (dual of [277, 20, 161]-code) | [i] | ||
| 7 | Linear OOA(4260, 140, F4, 2, 163) (dual of [(140, 2), 20, 164]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4260, 93, F4, 3, 163) (dual of [(93, 3), 19, 164]-NRT-code) | [i] | ||