Information on Result #692798
Linear OA(1698, 269, F16, 54) (dual of [269, 171, 55]-code), using construction X applied to Ce(53) ⊂ Ce(46) based on
- linear OA(1692, 256, F16, 54) (dual of [256, 164, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1685, 256, F16, 47) (dual of [256, 171, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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
None.