Information on Result #1780715
Digital (184, 210, 1394966)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4210, 1394966, F4, 3, 26) (dual of [(1394966, 3), 4184688, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4210, 1398105, F4, 3, 26) (dual of [(1398105, 3), 4194105, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4210, 4194315, F4, 26) (dual of [4194315, 4194105, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(4210, 4194304, F4, 26) (dual of [4194304, 4194094, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- OOA 3-folding [i] based on linear OA(4210, 4194315, F4, 26) (dual of [4194315, 4194105, 27]-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.