MinT - Information on Result #1028493

Information on Result #1028493

Linear OOA(2¹²³, 45, F₂, 3, 77) (dual of [(45, 3), 12, 78]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹², 15, F₁₆, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(16¹², 16, F₁₆, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
  - Reedâ€“Solomon code RS(4,16) [i]
linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;4,2) [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(2¹²⁴, 45, F₂, 3, 77) (dual of [(45, 3), 11, 78]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹²², 44, F₂, 3, 76) (dual of [(44, 3), 10, 77]-NRT-code)	[i]		Truncation for OOAs
3	Linear OOA(2¹²¹, 44, F₂, 3, 75) (dual of [(44, 3), 11, 76]-NRT-code)	[i]
4	Linear OOA(2¹²⁰, 44, F₂, 3, 74) (dual of [(44, 3), 12, 75]-NRT-code)	[i]
5	Linear OOA(2¹¹⁹, 43, F₂, 3, 73) (dual of [(43, 3), 10, 74]-NRT-code)	[i]
6	Linear OOA(2¹¹⁸, 43, F₂, 3, 72) (dual of [(43, 3), 11, 73]-NRT-code)	[i]
7	Linear OOA(2¹¹⁷, 43, F₂, 3, 71) (dual of [(43, 3), 12, 72]-NRT-code)	[i]
8	Linear OOA(2¹¹⁶, 42, F₂, 3, 70) (dual of [(42, 3), 10, 71]-NRT-code)	[i]
9	Linear OOA(2¹¹⁵, 42, F₂, 3, 69) (dual of [(42, 3), 11, 70]-NRT-code)	[i]
10	Linear OOA(2¹¹³, 41, F₂, 3, 67) (dual of [(41, 3), 10, 68]-NRT-code)	[i]
11	Linear OOA(2¹¹², 41, F₂, 3, 66) (dual of [(41, 3), 11, 67]-NRT-code)	[i]
12	Linear OOA(2¹²³, 22, F₂, 6, 77) (dual of [(22, 6), 9, 78]-NRT-code)	[i]		OOA Folding