MinT - Information on Result #1145822

Information on Result #1145822

Linear OOA(2¹¹⁷, 20, F₂, 6, 107) (dual of [(20, 6), 3, 108]-NRT-code), using repeating each code word 4 times based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(6;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
- an explicitly constructive algebraic function field [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(2¹¹⁷, 20, F₂, 6, 106) (dual of [(20, 6), 3, 107]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹¹⁷, 20, F₂, 6, 105) (dual of [(20, 6), 3, 106]-NRT-code)	[i]
3	Linear OOA(2¹¹⁷, 20, F₂, 6, 104) (dual of [(20, 6), 3, 105]-NRT-code)	[i]
4	Linear OOA(2¹¹⁷, 20, F₂, 6, 103) (dual of [(20, 6), 3, 104]-NRT-code)	[i]
5	Linear OOA(2¹¹⁷, 20, F₂, 6, 102) (dual of [(20, 6), 3, 103]-NRT-code)	[i]
6	Linear OOA(2¹¹⁷, 20, F₂, 6, 101) (dual of [(20, 6), 3, 102]-NRT-code)	[i]
7	Linear OOA(2¹¹⁷, 20, F₂, 6, 100) (dual of [(20, 6), 3, 101]-NRT-code)	[i]
8	Linear OOA(2¹¹⁶, 19, F₂, 6, 106)	[i]	Truncation for OOAs
9	Linear OOA(2¹¹⁵, 19, F₂, 6, 105)	[i]
10	Linear OOA(2¹¹², 19, F₂, 6, 102) (dual of [(19, 6), 2, 103]-NRT-code)	[i]
11	Linear OOA(2¹¹¹, 19, F₂, 6, 101) (dual of [(19, 6), 3, 102]-NRT-code)	[i]
12	Linear OOA(2¹¹⁰, 18, F₂, 6, 100)	[i]
13	Linear OOA(2¹⁰⁹, 18, F₂, 6, 99)	[i]
14	Linear OOA(2¹⁰⁴, 17, F₂, 6, 94)	[i]
15	Linear OOA(2¹⁰³, 17, F₂, 6, 93)	[i]
16	Linear OOA(2¹⁰⁰, 17, F₂, 6, 90) (dual of [(17, 6), 2, 91]-NRT-code)	[i]
17	Linear OOA(2⁹⁸, 16, F₂, 6, 88)	[i]
18	Linear OOA(2⁹⁷, 16, F₂, 6, 87)	[i]
19	Linear OOA(2¹³⁵, 23, F₂, 6, 123) (dual of [(23, 6), 3, 124]-NRT-code)	[i]	Juxtaposition for OOAs