Information on Result #1762375
Digital (89, 111, 1729)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3111, 1729, F3, 22) (dual of [1729, 1618, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3111, 2227, F3, 22) (dual of [2227, 2116, 23]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3109, 2225, F3, 22) (dual of [2225, 2116, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3109, 2225, F3, 22) (dual of [2225, 2116, 23]-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.