MinT - Information on Result #911021

Information on Result #911021

Linear OOA(2¹¹⁶, 60, F₂, 2, 79) (dual of [(60, 2), 4, 80]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4¹⁸, 20, F₄, 15) (dual of [20, 2, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
  - Simplex code S(3,4) [i]
linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹¹⁶, 60, F₂, 2, 78) (dual of [(60, 2), 4, 79]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹¹⁶, 60, F₂, 2, 77) (dual of [(60, 2), 4, 78]-NRT-code)	[i]
3	Linear OOA(2¹¹⁶, 60, F₂, 2, 76) (dual of [(60, 2), 4, 77]-NRT-code)	[i]
4	Linear OOA(2¹¹⁸, 61, F₂, 2, 79) (dual of [(61, 2), 4, 80]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2¹¹⁵, 59, F₂, 2, 78) (dual of [(59, 2), 3, 79]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(2¹¹⁴, 59, F₂, 2, 77) (dual of [(59, 2), 4, 78]-NRT-code)	[i]
7	Linear OOA(2¹¹², 58, F₂, 2, 75) (dual of [(58, 2), 4, 76]-NRT-code)	[i]
8	Linear OOA(2¹⁰⁸, 56, F₂, 2, 71) (dual of [(56, 2), 4, 72]-NRT-code)	[i]
9	Linear OOA(2¹²⁴, 64, F₂, 2, 83) (dual of [(64, 2), 4, 84]-NRT-code)	[i]		Juxtaposition for OOAs
10	Linear OOA(2¹²⁶, 65, F₂, 2, 85) (dual of [(65, 2), 4, 86]-NRT-code)	[i]
11	Linear OOA(2¹²⁸, 66, F₂, 2, 86) (dual of [(66, 2), 4, 87]-NRT-code)	[i]
12	Linear OOA(2¹³⁰, 67, F₂, 2, 87) (dual of [(67, 2), 4, 88]-NRT-code)	[i]
13	Linear OOA(2¹³², 68, F₂, 2, 89) (dual of [(68, 2), 4, 90]-NRT-code)	[i]
14	Linear OOA(2¹¹⁶, 30, F₂, 4, 79) (dual of [(30, 4), 4, 80]-NRT-code)	[i]		OOA Folding