Information on Result #1775815
Digital (118, 138, 131082)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4138, 131082, F4, 2, 20) (dual of [(131082, 2), 262026, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4138, 262164, F4, 20) (dual of [262164, 262026, 21]-code), using
- 1 times truncation [i] based on linear OA(4139, 262165, F4, 21) (dual of [262165, 262026, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(20) ⊂ Ce(17) [i] based on
- 1 times truncation [i] based on linear OA(4139, 262165, F4, 21) (dual of [262165, 262026, 22]-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.