Information on Result #1764042
Digital (122, 144, 19687)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3144, 19687, F3, 3, 22) (dual of [(19687, 3), 58917, 23]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3143, 19687, F3, 3, 22) (dual of [(19687, 3), 58918, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3143, 59061, F3, 22) (dual of [59061, 58918, 23]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code), using
- OOA 3-folding [i] based on linear OA(3143, 59061, F3, 22) (dual of [59061, 58918, 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.