Information on Result #1771825
Digital (214, 244, 139551)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3244, 139551, F3, 3, 30) (dual of [(139551, 3), 418409, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3244, 177156, F3, 3, 30) (dual of [(177156, 3), 531224, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3244, 531468, F3, 30) (dual of [531468, 531224, 31]-code), using
- 1 times truncation [i] based on linear OA(3245, 531469, F3, 31) (dual of [531469, 531224, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- 1 times truncation [i] based on linear OA(3245, 531469, F3, 31) (dual of [531469, 531224, 32]-code), using
- OOA 3-folding [i] based on linear OA(3244, 531468, F3, 30) (dual of [531468, 531224, 31]-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.