Information on Result #1714964
Digital (172, 194, 145461)-net over F3, using net defined by OOA based on linear OOA(3194, 145461, F3, 28, 22) (dual of [(145461, 28), 4072714, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3194, 436384, F3, 4, 22) (dual of [(436384, 4), 1745342, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 436385, F3, 4, 22) (dual of [(436385, 4), 1745346, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3194, 436385, F3, 3, 22) (dual of [(436385, 3), 1308961, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 531462, F3, 3, 22) (dual of [(531462, 3), 1594192, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3194, 1594386, F3, 22) (dual of [1594386, 1594192, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(3194, 1594386, F3, 22) (dual of [1594386, 1594192, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 531462, F3, 3, 22) (dual of [(531462, 3), 1594192, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3194, 436385, F3, 3, 22) (dual of [(436385, 3), 1308961, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 436385, F3, 4, 22) (dual of [(436385, 4), 1745346, 23]-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.