Information on Result #692737
Linear OA(16123, 264, F16, 73) (dual of [264, 141, 74]-code), using construction X applied to Ce(72) ⊂ Ce(69) based on
- linear OA(16121, 256, F16, 73) (dual of [256, 135, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(16115, 256, F16, 70) (dual of [256, 141, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [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(16123, 132, F16, 2, 73) (dual of [(132, 2), 141, 74]-NRT-code) | [i] | OOA Folding | |