MinT - Information on Result #911088

Information on Result #911088

Linear OOA(2²⁰⁰, 102, F₂, 2, 134) (dual of [(102, 2), 4, 135]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³², 34, F₄, 26) (dual of [34, 2, 27]-code), using
- 1 times truncation [i] based on linear OA(4³³, 35, F₄, 27) (dual of [35, 2, 28]-code), using
  - repeating each code word 7 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(2²⁰⁰, 102, F₂, 2, 133) (dual of [(102, 2), 4, 134]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁰, 102, F₂, 2, 132) (dual of [(102, 2), 4, 133]-NRT-code)	[i]
3	Linear OOA(2²⁰⁰, 102, F₂, 2, 131) (dual of [(102, 2), 4, 132]-NRT-code)	[i]
4	Linear OOA(2²⁰⁰, 102, F₂, 2, 130) (dual of [(102, 2), 4, 131]-NRT-code)	[i]
5	Linear OOA(2²⁰⁰, 102, F₂, 2, 129) (dual of [(102, 2), 4, 130]-NRT-code)	[i]
6	Linear OOA(2¹⁹⁸, 101, F₂, 2, 132) (dual of [(101, 2), 4, 133]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2¹⁸⁵, 94, F₂, 2, 119) (dual of [(94, 2), 3, 120]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(2²¹⁰, 107, F₂, 2, 140) (dual of [(107, 2), 4, 141]-NRT-code)	[i]		Juxtaposition for OOAs
9	Linear OOA(2²⁰⁰, 51, F₂, 4, 134) (dual of [(51, 4), 4, 135]-NRT-code)	[i]		OOA Folding