Information on Result #1770672
Digital (205, 232, 183101)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3232, 183101, F3, 2, 27) (dual of [(183101, 2), 365970, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 265758, F3, 2, 27) (dual of [(265758, 2), 531284, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3232, 531516, F3, 27) (dual of [531516, 531284, 28]-code), using
- 1 times truncation [i] based on linear OA(3233, 531517, F3, 28) (dual of [531517, 531284, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(316, 76, F3, 7) (dual of [76, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(3233, 531517, F3, 28) (dual of [531517, 531284, 29]-code), using
- OOA 2-folding [i] based on linear OA(3232, 531516, F3, 27) (dual of [531516, 531284, 28]-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.