Information on Result #692717
Linear OA(1664, 262, F16, 35) (dual of [262, 198, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(1661, 256, F16, 35) (dual of [256, 195, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(1658, 256, F16, 31) (dual of [256, 198, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(163, 6, F16, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,16) or 6-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(1664, 131, F16, 2, 35) (dual of [(131, 2), 198, 36]-NRT-code) | [i] | OOA Folding | |