Information on Result #856731
Linear OOA(1637, 131, F16, 2, 20) (dual of [(131, 2), 225, 21]-NRT-code), using OOA 2-folding based on linear OA(1637, 262, F16, 20) (dual of [262, 225, 21]-code), using
- construction X applied to C([119,138]) ⊂ C([120,137]) [i] based on
- linear OA(1636, 257, F16, 20) (dual of [257, 221, 21]-code), using the BCH-code C(I) with length 257 | 164−1, defining interval I = {119,120,…,138}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1632, 257, F16, 18) (dual of [257, 225, 19]-code), using the BCH-code C(I) with length 257 | 164−1, defining interval I = {120,121,…,137}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 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 OOA(1638, 131, F16, 2, 20) (dual of [(131, 2), 224, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Digital (17, 37, 131)-net over F16 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |