Information on Result #1733826
Digital (19, 26, 65537)-net over F16, using net defined by OOA based on linear OOA(1626, 65537, F16, 10, 7) (dual of [(65537, 10), 655344, 8]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1626, 131075, F16, 2, 7) (dual of [(131075, 2), 262124, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1626, 131076, F16, 2, 7) (dual of [(131076, 2), 262126, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1626, 131076, F16, 7) (dual of [131076, 131050, 8]-code), using
- trace code [i] based on linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- 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(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1626, 131076, F16, 7) (dual of [131076, 131050, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(1626, 131076, F16, 2, 7) (dual of [(131076, 2), 262126, 8]-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.