Information on Result #692781
Linear OA(1635, 264, F16, 18) (dual of [264, 229, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(1632, 256, F16, 18) (dual of [256, 224, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(163, 8, F16, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,16) or 8-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), 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(1635, 132, F16, 2, 18) (dual of [(132, 2), 229, 19]-NRT-code) | [i] | OOA Folding | |