Information on Result #692807
Linear OA(1670, 268, F16, 37) (dual of [268, 198, 38]-code), using construction X applied to Ce(36) ⊂ Ce(30) based on
- linear OA(1665, 256, F16, 37) (dual of [256, 191, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(1658, 256, F16, 31) (dual of [256, 198, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(165, 12, F16, 5) (dual of [12, 7, 6]-code or 12-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), 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(1670, 134, F16, 2, 37) (dual of [(134, 2), 198, 38]-NRT-code) | [i] | OOA Folding | |