MinT - Information on Result #1145817

Information on Result #1145817

Linear OOA(2¹⁷⁶, 30, F₂, 6, 155) (dual of [(30, 6), 4, 156]-NRT-code), using repeating each code word 6 times based on linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(6;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(2¹⁷⁶, 30, F₂, 6, 154) (dual of [(30, 6), 4, 155]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁷⁶, 30, F₂, 6, 153) (dual of [(30, 6), 4, 154]-NRT-code)	[i]
3	Linear OOA(2¹⁷⁶, 30, F₂, 6, 152) (dual of [(30, 6), 4, 153]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁶, 30, F₂, 6, 151) (dual of [(30, 6), 4, 152]-NRT-code)	[i]
5	Linear OOA(2¹⁷⁶, 30, F₂, 6, 150) (dual of [(30, 6), 4, 151]-NRT-code)	[i]
6	Linear OOA(2¹⁷⁵, 29, F₂, 6, 154)	[i]	Truncation for OOAs
7	Linear OOA(2¹⁷¹, 29, F₂, 6, 150) (dual of [(29, 6), 3, 151]-NRT-code)	[i]
8	Linear OOA(2¹⁷⁰, 29, F₂, 6, 149) (dual of [(29, 6), 4, 150]-NRT-code)	[i]
9	Linear OOA(2¹⁶⁹, 28, F₂, 6, 148)	[i]
10	Linear OOA(2¹⁶³, 27, F₂, 6, 142)	[i]
11	Linear OOA(2¹⁵⁷, 26, F₂, 6, 136)	[i]
12	Linear OOA(2¹⁵¹, 25, F₂, 6, 130)	[i]