Information on Result #3254164
Digital (155, 174, 531444)-net over F3, using 31 times duplication based on digital (154, 173, 531444)-net over F3, using
- net defined by OOA [i] based on linear OOA(3173, 531444, F3, 19, 19) (dual of [(531444, 19), 10097263, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3173, 4782997, F3, 19) (dual of [4782997, 4782824, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3173, 4783001, F3, 19) (dual of [4783001, 4782828, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3173, 4783001, F3, 19) (dual of [4783001, 4782828, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3173, 4782997, F3, 19) (dual of [4782997, 4782824, 20]-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.