Information on Result #1783844
Digital (216, 245, 1489742)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4245, 1489742, F4, 2, 29) (dual of [(1489742, 2), 2979239, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4245, 2097186, F4, 2, 29) (dual of [(2097186, 2), 4194127, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- 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(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(413, 68, F4, 6) (dual of [68, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 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.