Information on Result #692839
Linear OA(16101, 272, F16, 55) (dual of [272, 171, 56]-code), using construction X applied to Ce(54) ⊂ Ce(46) based on
- linear OA(1694, 256, F16, 55) (dual of [256, 162, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(1685, 256, F16, 47) (dual of [256, 171, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [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(16101, 136, F16, 2, 55) (dual of [(136, 2), 171, 56]-NRT-code) | [i] | OOA Folding | |