Information on Result #1734104
Digital (44, 56, 349526)-net over F16, using net defined by OOA based on linear OOA(1656, 349526, F16, 14, 12) (dual of [(349526, 14), 4893308, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1656, 1048579, F16, 2, 12) (dual of [(1048579, 2), 2097102, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1656, 1048581, F16, 2, 12) (dual of [(1048581, 2), 2097106, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1656, 1048581, F16, 12) (dual of [1048581, 1048525, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(1656, 1048576, F16, 12) (dual of [1048576, 1048520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1651, 1048576, F16, 11) (dual of [1048576, 1048525, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1656, 1048581, F16, 12) (dual of [1048581, 1048525, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(1656, 1048581, F16, 2, 12) (dual of [(1048581, 2), 2097106, 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.