MinT - Information on Result #911079

Information on Result #911079

Linear OOA(2¹⁹⁰, 99, F₂, 2, 114) (dual of [(99, 2), 8, 115]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4²⁹, 33, F₄, 22) (dual of [33, 4, 23]-code), using
- 1 times truncation [i] based on linear OA(4³⁰, 34, F₄, 23) (dual of [34, 4, 24]-code), using
  - repeating each code word 2 times [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
    - projective code from ovoid in PG(3,Â 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(2¹⁹⁰, 99, F₂, 2, 113) (dual of [(99, 2), 8, 114]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁹⁰, 99, F₂, 2, 112) (dual of [(99, 2), 8, 113]-NRT-code)	[i]
3	Linear OOA(2¹⁹⁰, 99, F₂, 2, 111) (dual of [(99, 2), 8, 112]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁰, 99, F₂, 2, 110) (dual of [(99, 2), 8, 111]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁹, 98, F₂, 2, 113) (dual of [(98, 2), 7, 114]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(2¹⁸⁸, 98, F₂, 2, 112) (dual of [(98, 2), 8, 113]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁶, 97, F₂, 2, 110) (dual of [(97, 2), 8, 111]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁴, 96, F₂, 2, 108) (dual of [(96, 2), 8, 109]-NRT-code)	[i]
9	Linear OOA(2¹⁸³, 95, F₂, 2, 107) (dual of [(95, 2), 7, 108]-NRT-code)	[i]
10	Linear OOA(2¹⁸², 95, F₂, 2, 106) (dual of [(95, 2), 8, 107]-NRT-code)	[i]
11	Linear OOA(2¹⁸¹, 94, F₂, 2, 105) (dual of [(94, 2), 7, 106]-NRT-code)	[i]
12	Linear OOA(2¹⁸⁰, 94, F₂, 2, 104) (dual of [(94, 2), 8, 105]-NRT-code)	[i]