MinT - Information on Result #1075210

Information on Result #1075210

Linear OOA(2¹⁵², 260, F₂, 4, 32) (dual of [(260, 4), 888, 33]-NRT-code), using extracting embedded OOA based on digital (120, 152, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 38, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [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(2¹⁵⁶, 261, F₂, 4, 32) (dual of [(261, 4), 888, 33]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁶⁰, 262, F₂, 4, 32) (dual of [(262, 4), 888, 33]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁴, 263, F₂, 4, 32) (dual of [(263, 4), 888, 33]-NRT-code)	[i]
4	Linear OOA(2¹⁵³, 260, F₂, 4, 32) (dual of [(260, 4), 887, 33]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹⁵⁴, 260, F₂, 4, 32) (dual of [(260, 4), 886, 33]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁵, 260, F₂, 4, 32) (dual of [(260, 4), 885, 33]-NRT-code)	[i]
7	Linear OOA(2¹⁷⁰, 266, F₂, 4, 32) (dual of [(266, 4), 894, 33]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
8	Linear OOA(2¹⁷¹, 267, F₂, 4, 32) (dual of [(267, 4), 897, 33]-NRT-code)	[i]
9	Linear OOA(2¹⁷⁴, 270, F₂, 4, 32) (dual of [(270, 4), 906, 33]-NRT-code)	[i]
10	Linear OOA(2¹⁵², 130, F₂, 7, 32) (dual of [(130, 7), 758, 33]-NRT-code)	[i]		OOA Folding
11	Linear OOA(2¹⁵², 130, F₂, 8, 32) (dual of [(130, 8), 888, 33]-NRT-code)	[i]		OOA Folding