MinT - Information on Result #1161318

Information on Result #1161318

Linear OOA(2¹⁷¹, 25, F₂, 7, 154) (dual of [(25, 7), 4, 155]-NRT-code), using repeating each code word 5 times based on linear OOA(2³¹, 5, F₂, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(7;F,4P) [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(2¹⁷¹, 25, F₂, 7, 153) (dual of [(25, 7), 4, 154]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁷¹, 25, F₂, 7, 152) (dual of [(25, 7), 4, 153]-NRT-code)	[i]
3	Linear OOA(2¹⁷¹, 25, F₂, 7, 151) (dual of [(25, 7), 4, 152]-NRT-code)	[i]
4	Linear OOA(2¹⁷¹, 25, F₂, 7, 150) (dual of [(25, 7), 4, 151]-NRT-code)	[i]
5	Linear OOA(2¹⁷¹, 25, F₂, 7, 149) (dual of [(25, 7), 4, 150]-NRT-code)	[i]
6	Linear OOA(2¹⁷¹, 25, F₂, 7, 148) (dual of [(25, 7), 4, 149]-NRT-code)	[i]
7	Linear OOA(2¹⁷¹, 25, F₂, 7, 147) (dual of [(25, 7), 4, 148]-NRT-code)	[i]
8	Linear OOA(2¹⁷¹, 25, F₂, 7, 146) (dual of [(25, 7), 4, 147]-NRT-code)	[i]
9	Linear OOA(2¹⁷¹, 25, F₂, 7, 145) (dual of [(25, 7), 4, 146]-NRT-code)	[i]
10	Linear OOA(2¹⁷¹, 25, F₂, 7, 144) (dual of [(25, 7), 4, 145]-NRT-code)	[i]
11	Linear OOA(2¹⁷¹, 25, F₂, 7, 143) (dual of [(25, 7), 4, 144]-NRT-code)	[i]
12	Linear OOA(2¹⁷¹, 25, F₂, 7, 142) (dual of [(25, 7), 4, 143]-NRT-code)	[i]
13	Linear OOA(2¹⁷⁰, 24, F₂, 7, 153)	[i]	Truncation for OOAs
14	Linear OOA(2¹⁶⁹, 24, F₂, 7, 152)	[i]
15	Linear OOA(2¹⁶⁴, 24, F₂, 7, 147) (dual of [(24, 7), 4, 148]-NRT-code)	[i]
16	Linear OOA(2¹⁶³, 23, F₂, 7, 146)	[i]
17	Linear OOA(2¹⁶², 23, F₂, 7, 145)	[i]
18	Linear OOA(2¹⁵⁹, 23, F₂, 7, 142) (dual of [(23, 7), 2, 143]-NRT-code)	[i]
19	Linear OOA(2¹⁵⁶, 22, F₂, 7, 139)	[i]
20	Linear OOA(2¹⁵⁵, 22, F₂, 7, 138)	[i]
21	Linear OOA(2¹⁴⁹, 21, F₂, 7, 132)	[i]
22	Linear OOA(2¹⁴⁸, 21, F₂, 7, 131)	[i]