MinT - Information on Result #738063

Information on Result #738063

Linear OA(2²²⁶, 240, F₂, 107) (dual of [240, 14, 108]-code), using concatenation of two codes based on

linear OA(4⁷³, 80, F₄, 53) (dual of [80, 7, 54]-code), using
- a code by Kohnert and Zwanzger [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: 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.

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(2²²⁶, 240, F₂, 106) (dual of [240, 14, 107]-code)	[i]		Strength Reduction
2	Linear OA(2²²⁶, 240, F₂, 105) (dual of [240, 14, 106]-code)	[i]
3	Linear OA(2²²⁶, 240, F₂, 104) (dual of [240, 14, 105]-code)	[i]
4	Linear OA(2²²⁷, 241, F₂, 107) (dual of [241, 14, 108]-code)	[i]		Code Embedding in Larger Space
5	Linear OA(2²²⁸, 242, F₂, 107) (dual of [242, 14, 108]-code)	[i]
6	Linear OA(2²²⁹, 243, F₂, 107) (dual of [243, 14, 108]-code)	[i]
7	Linear OA(2²²⁵, 239, F₂, 106) (dual of [239, 14, 107]-code)	[i]		Truncation
8	Linear OA(2²²⁴, 238, F₂, 105) (dual of [238, 14, 106]-code)	[i]
9	Linear OA(2²²², 236, F₂, 103) (dual of [236, 14, 104]-code)	[i]
10	Linear OA(2²²¹, 235, F₂, 102) (dual of [235, 14, 103]-code)	[i]
11	Linear OA(2²¹⁹, 233, F₂, 100) (dual of [233, 14, 101]-code)	[i]
12	Linear OOA(2²²⁶, 120, F₂, 2, 107) (dual of [(120, 2), 14, 108]-NRT-code)	[i]		OOA Folding
13	Linear OOA(2²²⁶, 80, F₂, 3, 107) (dual of [(80, 3), 14, 108]-NRT-code)	[i]
14	Linear OOA(2²²⁶, 48, F₂, 5, 107) (dual of [(48, 5), 14, 108]-NRT-code)	[i]