MinT - Information on Result #911100

Information on Result #911100

Linear OOA(2²²⁰, 114, F₂, 2, 134) (dual of [(114, 2), 8, 135]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³⁴, 38, F₄, 26) (dual of [38, 4, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4³⁴, 39, F₄, 26) (dual of [39, 5, 27]-code), using
  - 1 times truncation [i] based on linear OA(4³⁵, 40, F₄, 27) (dual of [40, 5, 28]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [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(2²²⁰, 114, F₂, 2, 133) (dual of [(114, 2), 8, 134]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁰, 114, F₂, 2, 132) (dual of [(114, 2), 8, 133]-NRT-code)	[i]
3	Linear OOA(2²²⁰, 114, F₂, 2, 131) (dual of [(114, 2), 8, 132]-NRT-code)	[i]
4	Linear OOA(2²¹⁹, 113, F₂, 2, 133) (dual of [(113, 2), 7, 134]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(2²¹⁸, 113, F₂, 2, 132) (dual of [(113, 2), 8, 133]-NRT-code)	[i]
6	Linear OOA(2²¹⁷, 112, F₂, 2, 131) (dual of [(112, 2), 7, 132]-NRT-code)	[i]
7	Linear OOA(2²¹⁶, 112, F₂, 2, 130) (dual of [(112, 2), 8, 131]-NRT-code)	[i]
8	Linear OOA(2²¹⁵, 111, F₂, 2, 129) (dual of [(111, 2), 7, 130]-NRT-code)	[i]
9	Linear OOA(2²¹³, 110, F₂, 2, 127) (dual of [(110, 2), 7, 128]-NRT-code)	[i]
10	Linear OOA(2²¹², 110, F₂, 2, 126) (dual of [(110, 2), 8, 127]-NRT-code)	[i]
11	Linear OOA(2²²⁰, 57, F₂, 4, 134) (dual of [(57, 4), 8, 135]-NRT-code)	[i]		OOA Folding