Information on Result #3254615
Digital (209, 234, 398584)-net over F3, using 31 times duplication based on digital (208, 233, 398584)-net over F3, using
- net defined by OOA [i] based on linear OOA(3233, 398584, F3, 25, 25) (dual of [(398584, 25), 9964367, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3233, 4783009, F3, 25) (dual of [4783009, 4782776, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 4783010, F3, 25) (dual of [4783010, 4782777, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3233, 4783010, F3, 25) (dual of [4783010, 4782777, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3233, 4783009, F3, 25) (dual of [4783009, 4782776, 26]-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.