Information on Result #1715116
Digital (163, 186, 52052)-net over F3, using net defined by OOA based on linear OOA(3186, 52052, F3, 28, 23) (dual of [(52052, 28), 1457270, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3186, 156157, F3, 4, 23) (dual of [(156157, 4), 624442, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3186, 156159, F3, 4, 23) (dual of [(156159, 4), 624450, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3186, 156159, F3, 3, 23) (dual of [(156159, 3), 468291, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3186, 177156, F3, 3, 23) (dual of [(177156, 3), 531282, 24]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3185, 177156, F3, 3, 23) (dual of [(177156, 3), 531283, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3185, 531468, F3, 23) (dual of [531468, 531283, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3185, 531469, F3, 23) (dual of [531469, 531284, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(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(22) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3185, 531469, F3, 23) (dual of [531469, 531284, 24]-code), using
- OOA 3-folding [i] based on linear OA(3185, 531468, F3, 23) (dual of [531468, 531283, 24]-code), using
- 31 times duplication [i] based on linear OOA(3185, 177156, F3, 3, 23) (dual of [(177156, 3), 531283, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3186, 177156, F3, 3, 23) (dual of [(177156, 3), 531282, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3186, 156159, F3, 3, 23) (dual of [(156159, 3), 468291, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3186, 156159, F3, 4, 23) (dual of [(156159, 4), 624450, 24]-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.