MinT - Information on Result #2189677

Information on Result #2189677

Linear OA(2²⁵⁹, 261, F₂, 160) (dual of [261, 2, 161]-code), using strength reduction based on linear OA(2²⁵⁹, 261, F₂, 173) (dual of [261, 2, 174]-code), using

repeating each code word 87 times [i] based on linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2²⁵⁸, 260, F₂, 159) (dual of [260, 2, 160]-code)	[i]		Truncation
2	Linear OA(2²⁵⁷, 259, F₂, 158) (dual of [259, 2, 159]-code)	[i]
3	Linear OA(2²⁵⁵, 257, F₂, 156) (dual of [257, 2, 157]-code)	[i]
4	Linear OA(2²⁵⁴, 256, F₂, 155) (dual of [256, 2, 156]-code)	[i]
5	Linear OA(2²⁵², 254, F₂, 153) (dual of [254, 2, 154]-code)	[i]
6	Linear OA(2²⁵¹, 253, F₂, 152) (dual of [253, 2, 153]-code)	[i]
7	Linear OA(2²⁴⁹, 251, F₂, 150) (dual of [251, 2, 151]-code)	[i]
8	Linear OA(2²⁴⁸, 250, F₂, 149) (dual of [250, 2, 150]-code)	[i]
9	Linear OA(2²⁴⁶, 248, F₂, 147) (dual of [248, 2, 148]-code)	[i]
10	Linear OA(2²⁴⁵, 247, F₂, 146) (dual of [247, 2, 147]-code)	[i]
11	Linear OA(2²⁴³, 245, F₂, 144) (dual of [245, 2, 145]-code)	[i]
12	Linear OA(2²⁴², 244, F₂, 143) (dual of [244, 2, 144]-code)	[i]
13	Linear OA(2²⁴⁰, 242, F₂, 141) (dual of [242, 2, 142]-code)	[i]
14	Linear OA(2²³⁹, 241, F₂, 140) (dual of [241, 2, 141]-code)	[i]
15	Linear OA(2²³⁷, 239, F₂, 138) (dual of [239, 2, 139]-code)	[i]
16	Linear OA(2²³⁶, 238, F₂, 137) (dual of [238, 2, 138]-code)	[i]
17	Linear OA(2²³⁴, 236, F₂, 135) (dual of [236, 2, 136]-code)	[i]
18	Linear OA(2²³³, 235, F₂, 134) (dual of [235, 2, 135]-code)	[i]