Information on Result #692851
Linear OA(1675, 270, F16, 40) (dual of [270, 195, 41]-code), using construction X applied to Ce(39) ⊂ Ce(34) based on
- linear OA(1671, 256, F16, 40) (dual of [256, 185, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(1661, 256, F16, 35) (dual of [256, 195, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(164, 14, F16, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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(1675, 135, F16, 2, 40) (dual of [(135, 2), 195, 41]-NRT-code) | [i] | OOA Folding | |