MinT - Information on Result #1028510

Information on Result #1028510

Linear OOA(2¹⁴¹, 51, F₂, 3, 89) (dual of [(51, 3), 12, 90]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹⁴, 17, F₁₆, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
- extended Reedâ€“Solomon code RS_e(3,16) [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(2¹⁴¹, 51, F₂, 3, 88) (dual of [(51, 3), 12, 89]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁴¹, 51, F₂, 3, 87) (dual of [(51, 3), 12, 88]-NRT-code)	[i]
3	Linear OOA(2¹⁴¹, 51, F₂, 3, 86) (dual of [(51, 3), 12, 87]-NRT-code)	[i]
4	Linear OOA(2¹⁴¹, 51, F₂, 3, 85) (dual of [(51, 3), 12, 86]-NRT-code)	[i]
5	Linear OOA(2¹⁴¹, 51, F₂, 3, 84) (dual of [(51, 3), 12, 85]-NRT-code)	[i]
6	Linear OOA(2¹⁴², 51, F₂, 3, 89) (dual of [(51, 3), 11, 90]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹⁴³, 51, F₂, 3, 89) (dual of [(51, 3), 10, 90]-NRT-code)	[i]		OOA Duplication
8	Linear OOA(2¹³⁹, 50, F₂, 3, 87) (dual of [(50, 3), 11, 88]-NRT-code)	[i]		Truncation for OOAs
9	Linear OOA(2¹³⁷, 49, F₂, 3, 85) (dual of [(49, 3), 10, 86]-NRT-code)	[i]
10	Linear OOA(2¹³⁶, 49, F₂, 3, 84) (dual of [(49, 3), 11, 85]-NRT-code)	[i]
11	Linear OOA(2¹³⁵, 49, F₂, 3, 83) (dual of [(49, 3), 12, 84]-NRT-code)	[i]
12	Linear OOA(2¹³⁴, 48, F₂, 3, 82) (dual of [(48, 3), 10, 83]-NRT-code)	[i]
13	Linear OOA(2¹³³, 48, F₂, 3, 81) (dual of [(48, 3), 11, 82]-NRT-code)	[i]
14	Linear OOA(2¹³¹, 47, F₂, 3, 79) (dual of [(47, 3), 10, 80]-NRT-code)	[i]
15	Linear OOA(2¹³⁰, 47, F₂, 3, 78) (dual of [(47, 3), 11, 79]-NRT-code)	[i]