Information on Result #1766784
Digital (151, 186, 3285)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3186, 3285, F3, 2, 35) (dual of [(3285, 2), 6384, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3186, 6570, F3, 35) (dual of [6570, 6384, 36]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3185, 6569, F3, 35) (dual of [6569, 6384, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3185, 6569, F3, 35) (dual of [6569, 6384, 36]-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.