Information on Result #818118
Linear OOA(385, 46, F3, 2, 56) (dual of [(46, 2), 7, 57]-NRT-code), using OOA 2-folding based on linear OA(385, 92, F3, 56) (dual of [92, 7, 57]-code), using
- construction XX applied to C({0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}) ⊂ C([0,44]) ⊂ C([1,44]) [i] based on
- linear OA(378, 80, F3, 59) (dual of [80, 2, 60]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,20,22,23,25,26,40,41,44,53}, and minimum distance d ≥ |{3,16,29,…,37}|+1 = 60 (BCH-bound) [i]
- linear OA(374, 80, F3, 50) (dual of [80, 6, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.