Information on Result #3264228
Digital (87, 113, 10085)-net over F16, using 161 times duplication based on digital (86, 112, 10085)-net over F16, using
- net defined by OOA [i] based on linear OOA(16112, 10085, F16, 26, 26) (dual of [(10085, 26), 262098, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(16112, 131105, F16, 26) (dual of [131105, 130993, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16112, 131106, F16, 26) (dual of [131106, 130994, 27]-code), using
- trace code [i] based on linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- trace code [i] based on linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16112, 131106, F16, 26) (dual of [131106, 130994, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(16112, 131105, F16, 26) (dual of [131105, 130993, 27]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.