MinT - Information on Result #1075564

Information on Result #1075564

Linear OOA(2²⁵², 260, F₂, 4, 57) (dual of [(260, 4), 788, 58]-NRT-code), using extracting embedded OOA based on digital (195, 252, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 63, 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(2²⁵⁶, 261, F₂, 4, 57) (dual of [(261, 4), 788, 58]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2²⁶⁰, 262, F₂, 4, 57) (dual of [(262, 4), 788, 58]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁵³, 260, F₂, 4, 57) (dual of [(260, 4), 787, 58]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²⁵⁴, 260, F₂, 4, 57) (dual of [(260, 4), 786, 58]-NRT-code)	[i]
5	Linear OOA(2²⁵⁵, 260, F₂, 4, 57) (dual of [(260, 4), 785, 58]-NRT-code)	[i]
6	Linear OOA(2²⁵², 130, F₂, 7, 57) (dual of [(130, 7), 658, 58]-NRT-code)	[i]		OOA Folding
7	Linear OOA(2²⁵², 130, F₂, 8, 57) (dual of [(130, 8), 788, 58]-NRT-code)	[i]		OOA Folding