Information on Result #1719894
Digital (163, 191, 24156)-net over F4, using net defined by OOA based on linear OOA(4191, 24156, F4, 33, 28) (dual of [(24156, 33), 796957, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4191, 120781, F4, 3, 28) (dual of [(120781, 3), 362152, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4191, 120783, F4, 3, 28) (dual of [(120783, 3), 362158, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4191, 120783, F4, 2, 28) (dual of [(120783, 2), 241375, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4191, 131081, F4, 2, 28) (dual of [(131081, 2), 261971, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4191, 262162, F4, 28) (dual of [262162, 261971, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4191, 262163, F4, 28) (dual of [262163, 261972, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [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]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4191, 262163, F4, 28) (dual of [262163, 261972, 29]-code), using
- OOA 2-folding [i] based on linear OA(4191, 262162, F4, 28) (dual of [262162, 261971, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4191, 131081, F4, 2, 28) (dual of [(131081, 2), 261971, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4191, 120783, F4, 2, 28) (dual of [(120783, 2), 241375, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4191, 120783, F4, 3, 28) (dual of [(120783, 3), 362158, 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.