Information on Result #1766004
Digital (153, 175, 136837)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3175, 136837, F3, 3, 22) (dual of [(136837, 3), 410336, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 177157, F3, 3, 22) (dual of [(177157, 3), 531296, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3175, 531471, F3, 22) (dual of [531471, 531296, 23]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3173, 531469, F3, 22) (dual of [531469, 531296, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(21) ⊂ Ce(18) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3173, 531469, F3, 22) (dual of [531469, 531296, 23]-code), using
- OOA 3-folding [i] based on linear OA(3175, 531471, F3, 22) (dual of [531471, 531296, 23]-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.