Information on Result #1720040
Digital (158, 187, 10224)-net over F4, using net defined by OOA based on linear OOA(4187, 10224, F4, 33, 29) (dual of [(10224, 33), 337205, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4187, 51121, F4, 3, 29) (dual of [(51121, 3), 153176, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4187, 51124, F4, 3, 29) (dual of [(51124, 3), 153185, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4187, 51124, F4, 29) (dual of [51124, 50937, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4187, 65558, F4, 29) (dual of [65558, 65371, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(418, 22, F4, 14) (dual of [22, 4, 15]-code), using
- 1 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] based on
- 1 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- 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]
- linear OA(418, 22, F4, 14) (dual of [22, 4, 15]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4187, 65558, F4, 29) (dual of [65558, 65371, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4187, 51124, F4, 29) (dual of [51124, 50937, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(4187, 51124, F4, 3, 29) (dual of [(51124, 3), 153185, 30]-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.