Information on Result #1719890
Digital (161, 189, 21620)-net over F4, using net defined by OOA based on linear OOA(4189, 21620, F4, 33, 28) (dual of [(21620, 33), 713271, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4189, 108101, F4, 3, 28) (dual of [(108101, 3), 324114, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 108102, F4, 3, 28) (dual of [(108102, 3), 324117, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4189, 108102, F4, 2, 28) (dual of [(108102, 2), 216015, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 131071, F4, 2, 28) (dual of [(131071, 2), 261953, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4189, 262142, F4, 28) (dual of [262142, 261953, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4189, 262143, F4, 28) (dual of [262143, 261954, 29]-code), using
- 1 times truncation [i] based on linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 1 times truncation [i] based on linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4189, 262143, F4, 28) (dual of [262143, 261954, 29]-code), using
- OOA 2-folding [i] based on linear OA(4189, 262142, F4, 28) (dual of [262142, 261953, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 131071, F4, 2, 28) (dual of [(131071, 2), 261953, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4189, 108102, F4, 2, 28) (dual of [(108102, 2), 216015, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 108102, F4, 3, 28) (dual of [(108102, 3), 324117, 29]-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.