Information on Result #1713854
Digital (142, 159, 753004)-net over F3, using net defined by OOA based on linear OOA(3159, 753004, F3, 20, 17) (dual of [(753004, 20), 15059921, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3159, 1506009, F3, 4, 17) (dual of [(1506009, 4), 6023877, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 1506010, F3, 4, 17) (dual of [(1506010, 4), 6023881, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3159, 1506010, F3, 3, 17) (dual of [(1506010, 3), 4517871, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 1594333, F3, 3, 17) (dual of [(1594333, 3), 4782840, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3159, 4782999, F3, 17) (dual of [4782999, 4782840, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3159, 4783001, F3, 17) (dual of [4783001, 4782842, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 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(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3159, 4783001, F3, 17) (dual of [4783001, 4782842, 18]-code), using
- OOA 3-folding [i] based on linear OA(3159, 4782999, F3, 17) (dual of [4782999, 4782840, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 1594333, F3, 3, 17) (dual of [(1594333, 3), 4782840, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3159, 1506010, F3, 3, 17) (dual of [(1506010, 3), 4517871, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 1506010, F3, 4, 17) (dual of [(1506010, 4), 6023881, 18]-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.