Information on Result #692740
Linear OA(16119, 267, F16, 69) (dual of [267, 148, 70]-code), using construction X applied to Ce(68) ⊂ Ce(61) based on
- linear OA(16113, 256, F16, 69) (dual of [256, 143, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(16108, 256, F16, 62) (dual of [256, 148, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(166, 11, F16, 6) (dual of [11, 5, 7]-code or 11-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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(16119, 133, F16, 2, 69) (dual of [(133, 2), 147, 70]-NRT-code) | [i] | OOA Folding | |