Information on Result #1707636
Digital (6, 12, 36405)-net over F256, using net defined by OOA based on linear OOA(25612, 36405, F256, 6, 6) (dual of [(36405, 6), 218418, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(25612, 36405, F256, 5, 6) (dual of [(36405, 5), 182013, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25612, 36405, F256, 6) (dual of [36405, 36393, 7]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code 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(25612, 36405, F256, 6) (dual of [36405, 36393, 7]-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.