Information on Result #1735290
Digital (78, 104, 13733)-net over F16, using net defined by OOA based on linear OOA(16104, 13733, F16, 30, 26) (dual of [(13733, 30), 411886, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(16104, 96132, F16, 2, 26) (dual of [(96132, 2), 192160, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16104, 96138, F16, 2, 26) (dual of [(96138, 2), 192172, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16104, 96138, F16, 26) (dual of [96138, 96034, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16104, 131082, F16, 26) (dual of [131082, 130978, 27]-code), using
- trace code [i] based on linear OA(25652, 65541, F256, 26) (dual of [65541, 65489, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [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(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(25652, 65541, F256, 26) (dual of [65541, 65489, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16104, 131082, F16, 26) (dual of [131082, 130978, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16104, 96138, F16, 26) (dual of [96138, 96034, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(16104, 96138, F16, 2, 26) (dual of [(96138, 2), 192172, 27]-NRT-code), using
Mode: 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.