MinT - Information on Result #911094

Information on Result #911094

Linear OOA(2²¹⁰, 108, F₂, 2, 134) (dual of [(108, 2), 6, 135]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³³, 36, F₄, 26) (dual of [36, 3, 27]-code), using
- 1 times truncation [i] based on linear OA(4³⁴, 37, F₄, 27) (dual of [37, 3, 28]-code), using
  - code from dual 1-arc in PG(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(2²¹⁰, 108, F₂, 2, 133) (dual of [(108, 2), 6, 134]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹⁰, 108, F₂, 2, 132) (dual of [(108, 2), 6, 133]-NRT-code)	[i]
3	Linear OOA(2²¹⁰, 108, F₂, 2, 131) (dual of [(108, 2), 6, 132]-NRT-code)	[i]
4	Linear OOA(2²¹⁰, 108, F₂, 2, 130) (dual of [(108, 2), 6, 131]-NRT-code)	[i]
5	Linear OOA(2²¹⁰, 108, F₂, 2, 129) (dual of [(108, 2), 6, 130]-NRT-code)	[i]
6	Linear OOA(2²¹⁰, 108, F₂, 2, 128) (dual of [(108, 2), 6, 129]-NRT-code)	[i]
7	Linear OOA(2²¹⁰, 108, F₂, 2, 127) (dual of [(108, 2), 6, 128]-NRT-code)	[i]
8	Linear OOA(2²¹⁰, 108, F₂, 2, 126) (dual of [(108, 2), 6, 127]-NRT-code)	[i]
9	Linear OOA(2²⁰⁹, 107, F₂, 2, 133) (dual of [(107, 2), 5, 134]-NRT-code)	[i]		Truncation for OOAs
10	Linear OOA(2²⁰³, 104, F₂, 2, 127) (dual of [(104, 2), 5, 128]-NRT-code)	[i]
11	Linear OOA(2²⁰², 104, F₂, 2, 126) (dual of [(104, 2), 6, 127]-NRT-code)	[i]
12	Linear OOA(2²⁰¹, 103, F₂, 2, 125) (dual of [(103, 2), 5, 126]-NRT-code)	[i]
13	Linear OOA(2¹⁹⁹, 102, F₂, 2, 123) (dual of [(102, 2), 5, 124]-NRT-code)	[i]
14	Linear OOA(2²¹⁰, 54, F₂, 4, 134) (dual of [(54, 4), 6, 135]-NRT-code)	[i]		OOA Folding