Information on Result #1779425
Digital (165, 194, 98189)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4194, 98189, F4, 2, 29) (dual of [(98189, 2), 196184, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 131083, F4, 2, 29) (dual of [(131083, 2), 261972, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4194, 262166, F4, 29) (dual of [262166, 261972, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code), using
- OOA 2-folding [i] based on linear OA(4194, 262166, F4, 29) (dual of [262166, 261972, 30]-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.