Information on Result #664753
Linear OA(1620, 270372, F16, 5) (dual of [270372, 270352, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(161, 69905, F16, 1) (dual of [69905, 69904, 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
- linear OA(165, 69905, F16, 2) (dual of [69905, 69900, 3]-code), using
- Hamming code H(5,16) [i]
- linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using
- trace code [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), 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 OOA(1620, 270372, F16, 2, 5) (dual of [(270372, 2), 540724, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (15, 20, 270372)-net over F16 | [i] | ||
| 3 | Linear OOA(1620, 135186, F16, 2, 5) (dual of [(135186, 2), 270352, 6]-NRT-code) | [i] | OOA Folding | |