Information on Result #956276
Linear OOA(3239, 731, F3, 3, 51) (dual of [(731, 3), 1954, 52]-NRT-code), using OOA 3-folding based on linear OA(3239, 2193, F3, 51) (dual of [2193, 1954, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 2194, F3, 51) (dual of [2194, 1955, 52]-code), using
- 1 times truncation [i] based on linear OA(3240, 2195, F3, 52) (dual of [2195, 1955, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(49) [i] based on
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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(51) ⊂ Ce(49) [i] based on
- 1 times truncation [i] based on linear OA(3240, 2195, F3, 52) (dual of [2195, 1955, 53]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.