MinT - Information on Result #911107

Information on Result #911107

Linear OOA(2²³⁰, 117, F₂, 2, 154) (dual of [(117, 2), 4, 155]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³⁷, 39, F₄, 30) (dual of [39, 2, 31]-code), using
- 1 times truncation [i] based on linear OA(4³⁸, 40, F₄, 31) (dual of [40, 2, 32]-code), using
  - repeating each code word 8 times [i] based on linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
    - extended Reedâ€“Solomon code RS_e(2,4) [i]
    - Simplex code S(2,4) [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(2²³⁰, 117, F₂, 2, 153) (dual of [(117, 2), 4, 154]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁰, 117, F₂, 2, 152) (dual of [(117, 2), 4, 153]-NRT-code)	[i]
3	Linear OOA(2²³⁰, 117, F₂, 2, 151) (dual of [(117, 2), 4, 152]-NRT-code)	[i]
4	Linear OOA(2²³⁰, 117, F₂, 2, 150) (dual of [(117, 2), 4, 151]-NRT-code)	[i]
5	Linear OOA(2²³⁰, 117, F₂, 2, 149) (dual of [(117, 2), 4, 150]-NRT-code)	[i]
6	Linear OOA(2²³⁰, 117, F₂, 2, 148) (dual of [(117, 2), 4, 149]-NRT-code)	[i]
7	Linear OOA(2²³⁰, 117, F₂, 2, 147) (dual of [(117, 2), 4, 148]-NRT-code)	[i]
8	Linear OOA(2²³⁰, 117, F₂, 2, 146) (dual of [(117, 2), 4, 147]-NRT-code)	[i]
9	Linear OOA(2²²⁸, 116, F₂, 2, 152) (dual of [(116, 2), 4, 153]-NRT-code)	[i]		Truncation for OOAs
10	Linear OOA(2²¹⁵, 109, F₂, 2, 139) (dual of [(109, 2), 3, 140]-NRT-code)	[i]		Truncation for OOAs
11	Linear OOA(2²⁴⁰, 122, F₂, 2, 160) (dual of [(122, 2), 4, 161]-NRT-code)	[i]		Juxtaposition for OOAs