Information on Result #1712974
Digital (45, 57, 548)-net over F3, using net defined by OOA based on linear OOA(357, 548, F3, 15, 12) (dual of [(548, 15), 8163, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(357, 1097, F3, 3, 12) (dual of [(1097, 3), 3234, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(357, 1097, F3, 2, 12) (dual of [(1097, 2), 2137, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(357, 2194, F3, 12) (dual of [2194, 2137, 13]-code), using
- 1 times truncation [i] based on linear OA(358, 2195, F3, 13) (dual of [2195, 2137, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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(12) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(358, 2195, F3, 13) (dual of [2195, 2137, 14]-code), using
- OOA 2-folding [i] based on linear OA(357, 2194, F3, 12) (dual of [2194, 2137, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(357, 1097, F3, 2, 12) (dual of [(1097, 2), 2137, 13]-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.