Information on Result #692769
Linear OA(1658, 264, F16, 30) (dual of [264, 206, 31]-code), using construction X applied to Ce(29) ⊂ Ce(26) based on
- linear OA(1656, 256, F16, 30) (dual of [256, 200, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(1650, 256, F16, 27) (dual of [256, 206, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(162, 8, F16, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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(1658, 132, F16, 2, 30) (dual of [(132, 2), 206, 31]-NRT-code) | [i] | OOA Folding | |