Information on Result #1719852
Digital (140, 168, 6553)-net over F4, using net defined by OOA based on linear OOA(4168, 6553, F4, 33, 28) (dual of [(6553, 33), 216081, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4168, 32766, F4, 3, 28) (dual of [(32766, 3), 98130, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4168, 32767, F4, 3, 28) (dual of [(32767, 3), 98133, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4168, 32767, F4, 2, 28) (dual of [(32767, 2), 65366, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4168, 65534, F4, 28) (dual of [65534, 65366, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4168, 65535, F4, 28) (dual of [65535, 65367, 29]-code), using
- 1 times truncation [i] based on linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 1 times truncation [i] based on linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4168, 65535, F4, 28) (dual of [65535, 65367, 29]-code), using
- OOA 2-folding [i] based on linear OA(4168, 65534, F4, 28) (dual of [65534, 65366, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4168, 32767, F4, 2, 28) (dual of [(32767, 2), 65366, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4168, 32767, F4, 3, 28) (dual of [(32767, 3), 98133, 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.