MinT - Information on Result #1023199

Information on Result #1023199

Linear OOA(2¹²⁴, 42, F₂, 3, 111) (dual of [(42, 3), 2, 112]-NRT-code), using repeating each code word 14 times based on linear OOA(2⁷, 3, F₂, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using

extended Reedâ€“Solomon NRT-code RS_e(3;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		Method
1	Linear OOA(2¹²⁴, 42, F₂, 3, 110) (dual of [(42, 3), 2, 111]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹²⁴, 42, F₂, 3, 109) (dual of [(42, 3), 2, 110]-NRT-code)	[i]
3	Linear OOA(2¹²⁴, 42, F₂, 3, 108) (dual of [(42, 3), 2, 109]-NRT-code)	[i]
4	Linear OOA(2¹²⁴, 42, F₂, 3, 107) (dual of [(42, 3), 2, 108]-NRT-code)	[i]
5	Linear OOA(2¹²⁴, 42, F₂, 3, 106) (dual of [(42, 3), 2, 107]-NRT-code)	[i]
6	Linear OOA(2¹²⁴, 42, F₂, 3, 105) (dual of [(42, 3), 2, 106]-NRT-code)	[i]
7	Linear OOA(2¹²¹, 41, F₂, 3, 108) (dual of [(41, 3), 2, 109]-NRT-code)	[i]	Truncation for OOAs
8	Linear OOA(2¹¹⁸, 40, F₂, 3, 105) (dual of [(40, 3), 2, 106]-NRT-code)	[i]
9	Linear OOA(2¹¹², 38, F₂, 3, 99) (dual of [(38, 3), 2, 100]-NRT-code)	[i]
10	Linear OOA(2¹⁰⁹, 37, F₂, 3, 96) (dual of [(37, 3), 2, 97]-NRT-code)	[i]
11	Linear OOA(2¹⁰³, 35, F₂, 3, 90) (dual of [(35, 3), 2, 91]-NRT-code)	[i]
12	Linear OOA(2¹⁰⁰, 34, F₂, 3, 87) (dual of [(34, 3), 2, 88]-NRT-code)	[i]
13	Linear OOA(2⁹⁴, 32, F₂, 3, 81) (dual of [(32, 3), 2, 82]-NRT-code)	[i]
14	Linear OOA(2⁹¹, 31, F₂, 3, 78) (dual of [(31, 3), 2, 79]-NRT-code)	[i]
15	Linear OOA(2⁸⁵, 29, F₂, 3, 72) (dual of [(29, 3), 2, 73]-NRT-code)	[i]
16	Linear OOA(2⁷³, 25, F₂, 3, 60) (dual of [(25, 3), 2, 61]-NRT-code)	[i]
17	Linear OOA(2¹²⁴, 21, F₂, 6, 111) (dual of [(21, 6), 2, 112]-NRT-code)	[i]	OOA Folding