Information on Result #692800
Linear OA(1694, 269, F16, 52) (dual of [269, 175, 53]-code), using construction X applied to Ce(51) ⊂ Ce(44) based on
- linear OA(1688, 256, F16, 52) (dual of [256, 168, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(1681, 256, F16, 45) (dual of [256, 175, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(166, 13, F16, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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(1694, 134, F16, 2, 52) (dual of [(134, 2), 174, 53]-NRT-code) | [i] | OOA Folding | |