Information on Result #692733
Linear OA(1633, 262, F16, 17) (dual of [262, 229, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(1631, 256, F16, 17) (dual of [256, 225, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1627, 256, F16, 14) (dual of [256, 229, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(162, 6, F16, 2) (dual of [6, 4, 3]-code or 6-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(1633, 131, F16, 2, 17) (dual of [(131, 2), 229, 18]-NRT-code) | [i] | OOA Folding | |