MinT - Information on Result #604059

Information on Result #604059

Linear OA(256³, 3, F₂₅₆, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,256) or 3-cap in PG(2,256)), using complete OA / dual of code with only one code word

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:

	Result		This result only	Method
1	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]		Generalized (u,Â u+v)-Construction
2	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]
3	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]
4	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]
5	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]
6	Linear OA(256⁶³, 65557, F₂₅₆, 22) (dual of [65557, 65494, 23]-code)	[i]
7	Linear OA(256⁵⁶, 65554, F₂₅₆, 20) (dual of [65554, 65498, 21]-code)	[i]
8	Linear OA(256⁵⁶, 65554, F₂₅₆, 20) (dual of [65554, 65498, 21]-code)	[i]
9	Linear OA(256⁵⁶, 65554, F₂₅₆, 20) (dual of [65554, 65498, 21]-code)	[i]
10	Linear OA(256⁵⁶, 65554, F₂₅₆, 20) (dual of [65554, 65498, 21]-code)	[i]
11	Linear OA(256⁵⁶, 65554, F₂₅₆, 20) (dual of [65554, 65498, 21]-code)	[i]
12	Linear OA(256⁴⁵, 65551, F₂₅₆, 16) (dual of [65551, 65506, 17]-code)	[i]
13	Linear OA(256⁴⁵, 65551, F₂₅₆, 16) (dual of [65551, 65506, 17]-code)	[i]
14	Linear OA(256⁴⁵, 65551, F₂₅₆, 16) (dual of [65551, 65506, 17]-code)	[i]
15	Linear OA(256⁴⁵, 65551, F₂₅₆, 16) (dual of [65551, 65506, 17]-code)	[i]
16	Linear OA(256³⁸, 65548, F₂₅₆, 14) (dual of [65548, 65510, 15]-code)	[i]
17	Linear OA(256³⁸, 65548, F₂₅₆, 14) (dual of [65548, 65510, 15]-code)	[i]
18	Linear OA(256³⁸, 65548, F₂₅₆, 14) (dual of [65548, 65510, 15]-code)	[i]