MinT - Information on Result #1177466

Information on Result #1177466

Linear OOA(2¹⁷⁹, 23, F₂, 8, 160) (dual of [(23, 8), 5, 161]-NRT-code), using juxtaposition based on

linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁹, 18, F₂, 8, 125) (dual of [(18, 8), 5, 126]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(2⁴³, 6, F₂, 8, 41) (dual of [(6, 8), 5, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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		This result only	Method
1	Linear OOA(2¹⁷⁹, 23, F₂, 8, 159) (dual of [(23, 8), 5, 160]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁷⁹, 23, F₂, 8, 158) (dual of [(23, 8), 5, 159]-NRT-code)	[i]
3	Linear OOA(2¹⁷⁹, 23, F₂, 8, 157) (dual of [(23, 8), 5, 158]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁹, 23, F₂, 8, 156) (dual of [(23, 8), 5, 157]-NRT-code)	[i]
5	Linear OOA(2¹⁷⁹, 23, F₂, 8, 155) (dual of [(23, 8), 5, 156]-NRT-code)	[i]
6	Linear OOA(2¹⁷⁹, 23, F₂, 8, 154) (dual of [(23, 8), 5, 155]-NRT-code)	[i]
7	Linear OOA(2¹⁷⁹, 23, F₂, 8, 153) (dual of [(23, 8), 5, 154]-NRT-code)	[i]
8	Linear OOA(2¹⁷⁹, 23, F₂, 8, 152) (dual of [(23, 8), 5, 153]-NRT-code)	[i]
9	Linear OOA(2¹⁷⁹, 23, F₂, 8, 151) (dual of [(23, 8), 5, 152]-NRT-code)	[i]
10	Linear OOA(2¹⁷⁹, 23, F₂, 8, 150) (dual of [(23, 8), 5, 151]-NRT-code)	[i]
11	Linear OOA(2¹⁷⁸, 22, F₂, 8, 159)	[i]		Truncation for OOAs
12	Linear OOA(2¹⁷⁷, 22, F₂, 8, 158)	[i]
13	Linear OOA(2¹⁷⁰, 21, F₂, 8, 151)	[i]
14	Linear OOA(2¹⁶⁹, 21, F₂, 8, 150)	[i]