Information on Result #1733980
Digital (36, 46, 349526)-net over F16, using net defined by OOA based on linear OOA(1646, 349526, F16, 14, 10) (dual of [(349526, 14), 4893318, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1646, 1048579, F16, 2, 10) (dual of [(1048579, 2), 2097112, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1646, 1048581, F16, 2, 10) (dual of [(1048581, 2), 2097116, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1646, 1048581, F16, 10) (dual of [1048581, 1048535, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(1646, 1048576, F16, 10) (dual of [1048576, 1048530, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1641, 1048576, F16, 9) (dual of [1048576, 1048535, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1646, 1048581, F16, 10) (dual of [1048581, 1048535, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(1646, 1048581, F16, 2, 10) (dual of [(1048581, 2), 2097116, 11]-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.