Information on Result #617506

Linear OA(2757, 531442, F27, 15) (dual of [531442, 531385, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2764, 531470, F27, 15) (dual of [531470, 531406, 16]-code) [i](u, u+v)-Construction
2Linear OA(2765, 531480, F27, 15) (dual of [531480, 531415, 16]-code) [i]
3Linear OA(2766, 531490, F27, 15) (dual of [531490, 531424, 16]-code) [i]
4Linear OA(2767, 531498, F27, 15) (dual of [531498, 531431, 16]-code) [i]
5Linear OA(2768, 531506, F27, 15) (dual of [531506, 531438, 16]-code) [i]
6Linear OA(2769, 531547, F27, 15) (dual of [531547, 531478, 16]-code) [i]
7Linear OA(2770, 532172, F27, 15) (dual of [532172, 532102, 16]-code) [i]
8Linear OA(2768, 531508, F27, 15) (dual of [531508, 531440, 16]-code) [i]
9Linear OA(2770, 531457, F27, 15) (dual of [531457, 531387, 16]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(2769, 531498, F27, 15) (dual of [531498, 531429, 16]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(2770, 531508, F27, 15) (dual of [531508, 531438, 16]-code) [i]
12Linear OA(2764, 531450, F27, 15) (dual of [531450, 531386, 16]-code) [i]✔Construction X with Cyclic Codes
13Linear OA(2766, 531451, F27, 17) (dual of [531451, 531385, 18]-code) [i]✔
14Linear OA(2758, 531451, F27, 15) (dual of [531451, 531393, 16]-code) [i]✔
15Linear OA(2776, 531461, F27, 19) (dual of [531461, 531385, 20]-code) [i]✔
16Linear OA(2760, 531461, F27, 15) (dual of [531461, 531401, 16]-code) [i]✔
17Linear OA(2786, 531470, F27, 21) (dual of [531470, 531384, 22]-code) [i]✔
18Linear OA(2787, 531472, F27, 21) (dual of [531472, 531385, 22]-code) [i]✔
19Linear OA(2785, 531470, F27, 20) (dual of [531470, 531385, 21]-code) [i]✔
20Linear OA(2762, 531470, F27, 15) (dual of [531470, 531408, 16]-code) [i]✔
21Linear OA(2763, 531472, F27, 15) (dual of [531472, 531409, 16]-code) [i]✔
22Linear OA(2797, 531480, F27, 23) (dual of [531480, 531383, 24]-code) [i]✔
23Linear OA(2798, 531483, F27, 23) (dual of [531483, 531385, 24]-code) [i]✔
24Linear OA(2796, 531480, F27, 22) (dual of [531480, 531384, 23]-code) [i]✔
25Linear OA(27108, 531490, F27, 25) (dual of [531490, 531382, 26]-code) [i]✔
26Linear OA(27109, 531494, F27, 25) (dual of [531494, 531385, 26]-code) [i]✔
27Linear OA(27107, 531490, F27, 24) (dual of [531490, 531383, 25]-code) [i]✔