Information on Result #1733796
Digital (18, 24, 65540)-net over F16, using net defined by OOA based on linear OOA(1624, 65540, F16, 10, 6) (dual of [(65540, 10), 655376, 7]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1624, 131081, F16, 2, 6) (dual of [(131081, 2), 262138, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1624, 131082, F16, 2, 6) (dual of [(131082, 2), 262140, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1624, 131082, F16, 6) (dual of [131082, 131058, 7]-code), using
- trace code [i] based on linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(5) ⊂ Ce(3) [i] based on
- trace code [i] based on linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1624, 131082, F16, 6) (dual of [131082, 131058, 7]-code), using
- discarding factors / shortening the dual code based on linear OOA(1624, 131082, F16, 2, 6) (dual of [(131082, 2), 262140, 7]-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.