MinT - Information on Result #2795215

Information on Result #2795215

Linear OOA(2²⁵⁸, 116, F₂, 4, 88) (dual of [(116, 4), 206, 89]-NRT-code), using 4 times NRT-code embedding in larger space based on linear OOA(2²⁴², 112, F₂, 4, 88) (dual of [(112, 4), 206, 89]-NRT-code), using

extracting embedded OOA [i] based on digital (154, 242, 112)-net over F₂, using
- trace code for nets [i] based on digital (33, 121, 56)-net over F₄, using
  - net from sequence [i] based on digital (33, 55)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
      - F₅ from the 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(2²⁵⁹, 116, F₂, 4, 88) (dual of [(116, 4), 205, 89]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁶⁰, 116, F₂, 4, 88) (dual of [(116, 4), 204, 89]-NRT-code)	[i]		OOA Duplication