MinT - Information on Result #1075576

Information on Result #1075576

Linear OOA(2²⁵⁸, 132, F₂, 4, 80) (dual of [(132, 4), 270, 81]-NRT-code), using extracting embedded OOA based on digital (178, 258, 132)-net over F₂, using

trace code for nets [i] based on digital (49, 129, 66)-net over F₄, using
- net from sequence [i] based on digital (49, 65)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 49 and N(F) ≥ 66, using
    - T₆ from the second tower of function fields by GarcÃa and Stichtenoth over F₄ [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(2²⁵⁸, 132, F₂, 4, 79) (dual of [(132, 4), 270, 80]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵⁹, 132, F₂, 4, 80) (dual of [(132, 4), 269, 81]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2²⁵⁸, 66, F₂, 7, 80) (dual of [(66, 7), 204, 81]-NRT-code)	[i]		OOA Folding
4	Linear OOA(2²⁵⁸, 66, F₂, 8, 80) (dual of [(66, 8), 270, 81]-NRT-code)	[i]		OOA Folding