Information on Result #3254584
Digital (142, 167, 4922)-net over F3, using 32 times duplication based on digital (140, 165, 4922)-net over F3, using
- net defined by OOA [i] based on linear OOA(3165, 4922, F3, 25, 25) (dual of [(4922, 25), 122885, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3165, 59065, F3, 25) (dual of [59065, 58900, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3165, 59073, F3, 25) (dual of [59073, 58908, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 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(3165, 59073, F3, 25) (dual of [59073, 58908, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3165, 59065, F3, 25) (dual of [59065, 58900, 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.