Information on Result #3254673
Digital (173, 199, 13630)-net over F3, using 31 times duplication based on digital (172, 198, 13630)-net over F3, using
- net defined by OOA [i] based on linear OOA(3198, 13630, F3, 26, 26) (dual of [(13630, 26), 354182, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3198, 177190, F3, 26) (dual of [177190, 176992, 27]-code), using
- 4 times code embedding in larger space [i] based on linear OA(3194, 177186, F3, 26) (dual of [177186, 176992, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- 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(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(3194, 177186, F3, 26) (dual of [177186, 176992, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(3198, 177190, F3, 26) (dual of [177190, 176992, 27]-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.