Information on Result #3263356
Digital (121, 149, 37961)-net over F9, using 91 times duplication based on digital (120, 148, 37961)-net over F9, using
- net defined by OOA [i] based on linear OOA(9148, 37961, F9, 28, 28) (dual of [(37961, 28), 1062760, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(9148, 531454, F9, 28) (dual of [531454, 531306, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9148, 531456, F9, 28) (dual of [531456, 531308, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9133, 531441, F9, 25) (dual of [531441, 531308, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(9148, 531456, F9, 28) (dual of [531456, 531308, 29]-code), using
- OA 14-folding and stacking [i] based on linear OA(9148, 531454, F9, 28) (dual of [531454, 531306, 29]-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.