Information on Result #1717060
Digital (202, 242, 2269)-net over F3, using net defined by OOA based on linear OOA(3242, 2269, F3, 45, 40) (dual of [(2269, 45), 101863, 41]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3242, 9077, F3, 5, 40) (dual of [(9077, 5), 45143, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 9078, F3, 5, 40) (dual of [(9078, 5), 45148, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3242, 9078, F3, 2, 40) (dual of [(9078, 2), 17914, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 9855, F3, 2, 40) (dual of [(9855, 2), 19468, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3242, 19710, F3, 40) (dual of [19710, 19468, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(34) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(39) ⊂ Ce(34) [i] based on
- OOA 2-folding [i] based on linear OA(3242, 19710, F3, 40) (dual of [19710, 19468, 41]-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 9855, F3, 2, 40) (dual of [(9855, 2), 19468, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3242, 9078, F3, 2, 40) (dual of [(9078, 2), 17914, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 9078, F3, 5, 40) (dual of [(9078, 5), 45148, 41]-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.