Information on Result #692732
Linear OA(1634, 261, F16, 18) (dual of [261, 227, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(1632, 256, F16, 18) (dual of [256, 224, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1629, 256, F16, 15) (dual of [256, 227, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(162, 5, F16, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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(1634, 132, F16, 2, 18) (dual of [(132, 2), 230, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (16, 34, 132)-net over F16 | [i] | ||
| 3 | Linear OOA(1634, 130, F16, 2, 18) (dual of [(130, 2), 226, 19]-NRT-code) | [i] | OOA Folding | |