MinT - Information on Result #911013

Information on Result #911013

Linear OOA(2¹⁰⁸, 57, F₂, 2, 69) (dual of [(57, 2), 6, 70]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4¹⁶, 19, F₄, 13) (dual of [19, 3, 14]-code), using
- 2 times truncation [i] 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(2¹⁰⁸, 57, F₂, 2, 68) (dual of [(57, 2), 6, 69]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁰⁸, 57, F₂, 2, 67) (dual of [(57, 2), 6, 68]-NRT-code)	[i]
3	Linear OOA(2¹⁰⁸, 57, F₂, 2, 66) (dual of [(57, 2), 6, 67]-NRT-code)	[i]
4	Linear OOA(2¹⁰⁸, 57, F₂, 2, 65) (dual of [(57, 2), 6, 66]-NRT-code)	[i]
5	Linear OOA(2¹⁰⁸, 57, F₂, 2, 64) (dual of [(57, 2), 6, 65]-NRT-code)	[i]
6	Linear OOA(2¹⁰⁷, 56, F₂, 2, 68) (dual of [(56, 2), 5, 69]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2¹⁰⁶, 56, F₂, 2, 67) (dual of [(56, 2), 6, 68]-NRT-code)	[i]
8	Linear OOA(2¹⁰⁴, 55, F₂, 2, 65) (dual of [(55, 2), 6, 66]-NRT-code)	[i]