Information on Result #644775
Linear OA(1630, 67, F16, 23) (dual of [67, 37, 24]-code), using construction X applied to AG(F,40P) ⊂ AG(F,42P) based on
- linear OA(1629, 64, F16, 23) (dual of [64, 35, 24]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1627, 64, F16, 21) (dual of [64, 37, 22]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(460, 134, F4, 23) (dual of [134, 74, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(16124, 581, F16, 47) (dual of [581, 457, 48]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(2254, 201, F2, 2, 71) (dual of [(201, 2), 148, 72]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 4 | Linear OOA(1630, 33, F16, 2, 23) (dual of [(33, 2), 36, 24]-NRT-code) | [i] | OOA Folding | |