Information on Result #1734248
Digital (52, 66, 262145)-net over F16, using net defined by OOA based on linear OOA(1666, 262145, F16, 18, 14) (dual of [(262145, 18), 4718544, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1666, 1048581, F16, 2, 14) (dual of [(1048581, 2), 2097096, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1666, 1048581, F16, 14) (dual of [1048581, 1048515, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1661, 1048576, F16, 13) (dual of [1048576, 1048515, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1666, 1048581, F16, 14) (dual of [1048581, 1048515, 15]-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.