Information on Result #1761357
Digital (69, 83, 7994)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(383, 7994, F3, 2, 14) (dual of [(7994, 2), 15905, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 9846, F3, 2, 14) (dual of [(9846, 2), 19609, 15]-NRT-code), using
- 31 times duplication [i] based on linear OOA(382, 9846, F3, 2, 14) (dual of [(9846, 2), 19610, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code), using
- 31 times duplication [i] based on linear OOA(382, 9846, F3, 2, 14) (dual of [(9846, 2), 19610, 15]-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.