Information on Result #692747
Linear OA(16102, 264, F16, 58) (dual of [264, 162, 59]-code), using construction X applied to Ce(57) ⊂ Ce(54) based on
- linear OA(16100, 256, F16, 58) (dual of [256, 156, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- 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(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(16102, 132, F16, 2, 58) (dual of [(132, 2), 162, 59]-NRT-code) | [i] | OOA Folding | |