Information on Result #1768133
Digital (172, 203, 18664)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3203, 18664, F3, 3, 31) (dual of [(18664, 3), 55789, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 19687, F3, 3, 31) (dual of [(19687, 3), 58858, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3203, 59061, F3, 31) (dual of [59061, 58858, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3202, 59060, F3, 31) (dual of [59060, 58858, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3202, 59060, F3, 31) (dual of [59060, 58858, 32]-code), using
- OOA 3-folding [i] based on linear OA(3203, 59061, F3, 31) (dual of [59061, 58858, 32]-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.