Information on Result #1770036
Digital (193, 225, 27198)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3225, 27198, F3, 2, 32) (dual of [(27198, 2), 54171, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3225, 29551, F3, 2, 32) (dual of [(29551, 2), 58877, 33]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3224, 29551, F3, 2, 32) (dual of [(29551, 2), 58878, 33]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3222, 29550, F3, 2, 32) (dual of [(29550, 2), 58878, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3222, 59100, F3, 32) (dual of [59100, 58878, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(3222, 59100, F3, 32) (dual of [59100, 58878, 33]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3222, 29550, F3, 2, 32) (dual of [(29550, 2), 58878, 33]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3224, 29551, F3, 2, 32) (dual of [(29551, 2), 58878, 33]-NRT-code), using
Mode: 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.