Information on Result #692167
Linear OA(16122, 4113, F16, 42) (dual of [4113, 3991, 43]-code), using construction X applied to Ce(41) ⊂ Ce(36) based on
- linear OA(16118, 4096, F16, 42) (dual of [4096, 3978, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(16103, 4096, F16, 37) (dual of [4096, 3993, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
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(16122, 2056, F16, 2, 42) (dual of [(2056, 2), 3990, 43]-NRT-code) | [i] | OOA Folding | |