Information on Result #1779200
Digital (162, 191, 87384)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4191, 87384, F4, 3, 29) (dual of [(87384, 3), 261961, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4191, 262152, F4, 29) (dual of [262152, 261961, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4191, 262154, F4, 29) (dual of [262154, 261963, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [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(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(4191, 262154, F4, 29) (dual of [262154, 261963, 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.