Information on Result #3258173
Digital (153, 182, 4684)-net over F4, using 43 times duplication based on digital (150, 179, 4684)-net over F4, using
- net defined by OOA [i] based on linear OOA(4179, 4684, F4, 29, 29) (dual of [(4684, 29), 135657, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4179, 65577, F4, 29) (dual of [65577, 65398, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4179, 65578, F4, 29) (dual of [65578, 65399, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(410, 42, F4, 5) (dual of [42, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4179, 65578, F4, 29) (dual of [65578, 65399, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4179, 65577, F4, 29) (dual of [65577, 65398, 30]-code), using
Mode: Constructive and 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.