Information on Result #1765386
Digital (145, 166, 83969)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3166, 83969, F3, 2, 21) (dual of [(83969, 2), 167772, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3166, 88601, F3, 2, 21) (dual of [(88601, 2), 177036, 22]-NRT-code), using
- strength reduction [i] based on linear OOA(3166, 88601, F3, 2, 22) (dual of [(88601, 2), 177036, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 177202, F3, 22) (dual of [177202, 177036, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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 2-folding [i] based on linear OA(3166, 177202, F3, 22) (dual of [177202, 177036, 23]-code), using
- strength reduction [i] based on linear OOA(3166, 88601, F3, 2, 22) (dual of [(88601, 2), 177036, 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.