Information on Result #1783649
Digital (213, 243, 1269526)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4243, 1269526, F4, 3, 30) (dual of [(1269526, 3), 3808335, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4243, 1398105, F4, 3, 30) (dual of [(1398105, 3), 4194072, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4243, 4194315, F4, 30) (dual of [4194315, 4194072, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(29) ⊂ Ce(28) [i] based on
- OOA 3-folding [i] based on linear OA(4243, 4194315, F4, 30) (dual of [4194315, 4194072, 31]-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.