MinT - Information on Result #738060

Information on Result #738060

Linear OA(2²⁰⁰, 216, F₂, 95) (dual of [216, 16, 96]-code), using concatenation of two codes based on

linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
- BCH codes lengthened with UEP codes [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		Method
1	Linear OA(2²⁰⁰, 216, F₂, 94) (dual of [216, 16, 95]-code)	[i]	Strength Reduction
2	Linear OA(2²⁰¹, 217, F₂, 95) (dual of [217, 16, 96]-code)	[i]	Code Embedding in Larger Space
3	Linear OA(2²⁰², 218, F₂, 95) (dual of [218, 16, 96]-code)	[i]
4	Linear OA(2²⁰⁴, 220, F₂, 95) (dual of [220, 16, 96]-code)	[i]
5	Linear OA(2²⁰⁵, 221, F₂, 95) (dual of [221, 16, 96]-code)	[i]
6	Linear OA(2²⁰⁶, 222, F₂, 95) (dual of [222, 16, 96]-code)	[i]
7	Linear OA(2²⁰⁷, 223, F₂, 95) (dual of [223, 16, 96]-code)	[i]
8	Linear OA(2²⁰⁸, 224, F₂, 95) (dual of [224, 16, 96]-code)	[i]
9	Linear OA(2¹⁹⁹, 215, F₂, 94) (dual of [215, 16, 95]-code)	[i]	Truncation
10	Linear OA(2¹⁹⁸, 214, F₂, 93) (dual of [214, 16, 94]-code)	[i]
11	Linear OA(2¹⁹⁶, 212, F₂, 91) (dual of [212, 16, 92]-code)	[i]
12	Linear OA(2¹⁹⁵, 211, F₂, 90) (dual of [211, 16, 91]-code)	[i]
13	Linear OA(2¹⁹³, 209, F₂, 88) (dual of [209, 16, 89]-code)	[i]
14	Linear OA(2¹⁹², 208, F₂, 87) (dual of [208, 16, 88]-code)	[i]
15	Linear OA(2¹⁹⁰, 206, F₂, 85) (dual of [206, 16, 86]-code)	[i]
16	Linear OA(2¹⁸⁹, 205, F₂, 84) (dual of [205, 16, 85]-code)	[i]
17	Linear OA(2¹⁸⁸, 204, F₂, 83) (dual of [204, 16, 84]-code)	[i]
18	Linear OA(2¹⁸⁷, 203, F₂, 82) (dual of [203, 16, 83]-code)	[i]
19	Linear OA(2¹⁸⁶, 202, F₂, 81) (dual of [202, 16, 82]-code)	[i]
20	Linear OA(2¹⁸⁵, 201, F₂, 80) (dual of [201, 16, 81]-code)	[i]
21	Linear OA(2¹⁸⁴, 200, F₂, 79) (dual of [200, 16, 80]-code)	[i]
22	Linear OA(2¹⁸³, 199, F₂, 78) (dual of [199, 16, 79]-code)	[i]
23	Linear OOA(2²⁰⁰, 108, F₂, 2, 95) (dual of [(108, 2), 16, 96]-NRT-code)	[i]	OOA Folding
24	Linear OOA(2²⁰⁰, 72, F₂, 3, 95) (dual of [(72, 3), 16, 96]-NRT-code)	[i]
25	Linear OOA(2²⁰⁰, 43, F₂, 5, 95) (dual of [(43, 5), 15, 96]-NRT-code)	[i]