Information on Result #1734088
Digital (36, 48, 43693)-net over F16, using net defined by OOA based on linear OOA(1648, 43693, F16, 14, 12) (dual of [(43693, 14), 611654, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1648, 131080, F16, 2, 12) (dual of [(131080, 2), 262112, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1648, 131082, F16, 2, 12) (dual of [(131082, 2), 262116, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1648, 131082, F16, 12) (dual of [131082, 131034, 13]-code), using
- trace code [i] based on linear OA(25624, 65541, F256, 12) (dual of [65541, 65517, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(11) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(25624, 65541, F256, 12) (dual of [65541, 65517, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1648, 131082, F16, 12) (dual of [131082, 131034, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(1648, 131082, F16, 2, 12) (dual of [(131082, 2), 262116, 13]-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.