Information on Result #3164500
Digital (204, 228, 398583)-net over F3, using 1 times m-reduction based on digital (204, 229, 398583)-net over F3, using
- net defined by OOA [i] based on linear OOA(3229, 398583, F3, 25, 25) (dual of [(398583, 25), 9964346, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3229, 4782997, F3, 25) (dual of [4782997, 4782768, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3229, 4783001, F3, 25) (dual of [4783001, 4782772, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [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(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3229, 4783001, F3, 25) (dual of [4783001, 4782772, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3229, 4782997, F3, 25) (dual of [4782997, 4782768, 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.