MinT - Information on Result #911254

Information on Result #911254

Linear OOA(2¹⁵³, 81, F₂, 2, 91) (dual of [(81, 2), 9, 92]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8²⁴, 27, F₈, 22) (dual of [27, 3, 23]-code), using
- 1 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
  - Denniston code D(2,8) [i]
linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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 OOA(2¹⁵³, 81, F₂, 2, 90) (dual of [(81, 2), 9, 91]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵³, 81, F₂, 2, 89) (dual of [(81, 2), 9, 90]-NRT-code)	[i]
3	Linear OOA(2¹⁵³, 81, F₂, 2, 88) (dual of [(81, 2), 9, 89]-NRT-code)	[i]
4	Linear OOA(2¹⁵³, 81, F₂, 2, 87) (dual of [(81, 2), 9, 88]-NRT-code)	[i]
5	Linear OOA(2¹⁵³, 81, F₂, 2, 86) (dual of [(81, 2), 9, 87]-NRT-code)	[i]
6	Linear OOA(2¹⁵³, 81, F₂, 2, 85) (dual of [(81, 2), 9, 86]-NRT-code)	[i]
7	Linear OOA(2¹⁵², 80, F₂, 2, 90) (dual of [(80, 2), 8, 91]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(2¹⁵¹, 80, F₂, 2, 89) (dual of [(80, 2), 9, 90]-NRT-code)	[i]
9	Linear OOA(2¹⁵⁰, 79, F₂, 2, 88) (dual of [(79, 2), 8, 89]-NRT-code)	[i]
10	Linear OOA(2¹⁴⁹, 79, F₂, 2, 87) (dual of [(79, 2), 9, 88]-NRT-code)	[i]
11	Linear OOA(2¹⁴⁶, 77, F₂, 2, 84) (dual of [(77, 2), 8, 85]-NRT-code)	[i]
12	Linear OOA(2¹⁴⁵, 77, F₂, 2, 83) (dual of [(77, 2), 9, 84]-NRT-code)	[i]
13	Linear OOA(2¹⁴⁴, 76, F₂, 2, 82) (dual of [(76, 2), 8, 83]-NRT-code)	[i]
14	Linear OOA(2¹⁴³, 76, F₂, 2, 81) (dual of [(76, 2), 9, 82]-NRT-code)	[i]