Information on Result #1722836
Digital (49, 66, 568)-net over F5, using net defined by OOA based on linear OOA(566, 568, F5, 21, 17) (dual of [(568, 21), 11862, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(566, 1705, F5, 3, 17) (dual of [(1705, 3), 5049, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(566, 1706, F5, 3, 17) (dual of [(1706, 3), 5052, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(566, 1706, F5, 17) (dual of [1706, 1640, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(566, 1706, F5, 17) (dual of [1706, 1640, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(566, 1706, F5, 3, 17) (dual of [(1706, 3), 5052, 18]-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.