Information on Result #856730
Linear OOA(1636, 129, F16, 2, 20) (dual of [(129, 2), 222, 21]-NRT-code), using OOA 2-folding based on linear OA(1636, 258, F16, 20) (dual of [258, 222, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(1636, 256, F16, 20) (dual of [256, 220, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1634, 256, F16, 19) (dual of [256, 222, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-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 | Digital (16, 36, 114)-net over F16 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |