Information on Result #1717776
Digital (69, 82, 49461)-net over F4, using net defined by OOA based on linear OOA(482, 49461, F4, 15, 13) (dual of [(49461, 15), 741833, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(482, 98923, F4, 3, 13) (dual of [(98923, 3), 296687, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(482, 98924, F4, 3, 13) (dual of [(98924, 3), 296690, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(482, 98924, F4, 2, 13) (dual of [(98924, 2), 197766, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(482, 131072, F4, 2, 13) (dual of [(131072, 2), 262062, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 2-folding [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(482, 131072, F4, 2, 13) (dual of [(131072, 2), 262062, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(482, 98924, F4, 2, 13) (dual of [(98924, 2), 197766, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(482, 98924, F4, 3, 13) (dual of [(98924, 3), 296690, 14]-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.