MinT - Information on Result #1323250

Information on Result #1323250

Linear OA(2²¹⁰, 228, F₂, 95) (dual of [228, 18, 96]-code), using concatenation of two codes based on

linear OA(4⁶⁷, 76, F₄, 47) (dual of [76, 9, 48]-code), using
- a code from Grasslâ€™s database [i]
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: 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2²¹⁰, 228, F₂, 94) (dual of [228, 18, 95]-code)	[i]		Strength Reduction
2	Linear OA(2²¹¹, 229, F₂, 95) (dual of [229, 18, 96]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(2²¹², 230, F₂, 95) (dual of [230, 18, 96]-code)	[i]
4	Linear OA(2²¹³, 231, F₂, 95) (dual of [231, 18, 96]-code)	[i]
5	Linear OA(2²⁰⁹, 227, F₂, 94) (dual of [227, 18, 95]-code)	[i]		Truncation
6	Linear OA(2²⁰⁸, 226, F₂, 93) (dual of [226, 18, 94]-code)	[i]		Truncation