Information on Result #692816
Linear OA(1651, 267, F16, 26) (dual of [267, 216, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(1648, 256, F16, 26) (dual of [256, 208, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1640, 256, F16, 22) (dual of [256, 216, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(163, 11, F16, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,16) or 11-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
None.