MinT - Information on Result #603295

Information on Result #603295

Linear OA(16⁵, 5, F₁₆, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,16)), 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(16¹³⁰, 1048596, F₁₆, 24) (dual of [1048596, 1048466, 25]-code)	[i]		Generalized (u,Â u+v)-Construction
2	Linear OA(16¹³⁰, 1048596, F₁₆, 24) (dual of [1048596, 1048466, 25]-code)	[i]
3	Linear OA(16¹³⁰, 1048596, F₁₆, 24) (dual of [1048596, 1048466, 25]-code)	[i]
4	Linear OA(16¹⁰⁰, 1048591, F₁₆, 19) (dual of [1048591, 1048491, 20]-code)	[i]
5	Linear OA(16¹⁰⁰, 1048591, F₁₆, 19) (dual of [1048591, 1048491, 20]-code)	[i]
6	Linear OA(16⁶³, 4111, F₁₆, 18) (dual of [4111, 4048, 19]-code)	[i]
7	Linear OA(16⁶³, 4111, F₁₆, 18) (dual of [4111, 4048, 19]-code)	[i]
8	Linear OA(16⁹⁵, 1048591, F₁₆, 18) (dual of [1048591, 1048496, 19]-code)	[i]
9	Linear OA(16⁹⁵, 1048591, F₁₆, 18) (dual of [1048591, 1048496, 19]-code)	[i]
10	Linear OA(16⁸⁴, 1048592, F₁₆, 15) (dual of [1048592, 1048508, 16]-code)	[i]
11	Linear OA(16⁸⁴, 1048592, F₁₆, 15) (dual of [1048592, 1048508, 16]-code)	[i]
12	Linear OA(16⁷⁸, 1048591, F₁₆, 14) (dual of [1048591, 1048513, 15]-code)	[i]
13	Linear OA(16⁴⁹, 4106, F₁₆, 14) (dual of [4106, 4057, 15]-code)	[i]		(u,Â uâˆ’v,Â u+v+w)-Construction
14	Linear OA(16⁶³, 131082, F₁₆, 14) (dual of [131082, 131019, 15]-code)	[i]
15	Linear OA(16⁷⁵, 1048586, F₁₆, 14) (dual of [1048586, 1048511, 15]-code)	[i]
16	Linear OA(16⁵⁹, 131084, F₁₆, 13) (dual of [131084, 131025, 14]-code)	[i]
17	Linear OA(16⁴³, 4106, F₁₆, 12) (dual of [4106, 4063, 13]-code)	[i]
18	Linear OA(16⁵⁵, 131082, F₁₆, 12) (dual of [131082, 131027, 13]-code)	[i]
19	Linear OA(16⁶⁵, 1048586, F₁₆, 12) (dual of [1048586, 1048521, 13]-code)	[i]