Information on Result #3164482
Digital (198, 228, 11812)-net over F3, using 1 times m-reduction based on digital (198, 229, 11812)-net over F3, using
- net defined by OOA [i] based on linear OOA(3229, 11812, F3, 31, 31) (dual of [(11812, 31), 365943, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(3229, 177181, F3, 31) (dual of [177181, 176952, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3229, 177188, F3, 31) (dual of [177188, 176959, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(30) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3229, 177188, F3, 31) (dual of [177188, 176959, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(3229, 177181, F3, 31) (dual of [177181, 176952, 32]-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.