MinT - Information on Result #2999611

Information on Result #2999611

Linear OOA(2¹⁹⁶, 261, F₂, 8, 41) (dual of [(261, 8), 1892, 42]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2¹⁸⁸, 260, F₂, 8, 41) (dual of [(260, 8), 1892, 42]-NRT-code), using

extracting embedded OOA [i] based on digital (147, 188, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 47, 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		Method
1	Linear OOA(2¹⁹⁷, 261, F₂, 8, 41) (dual of [(261, 8), 1891, 42]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹⁹⁸, 261, F₂, 8, 41) (dual of [(261, 8), 1890, 42]-NRT-code)	[i]
3	Linear OOA(2¹⁹⁹, 261, F₂, 8, 41) (dual of [(261, 8), 1889, 42]-NRT-code)	[i]
4	Linear OOA(2²⁰⁰, 261, F₂, 8, 41) (dual of [(261, 8), 1888, 42]-NRT-code)	[i]
5	Linear OOA(2²⁰¹, 261, F₂, 8, 41) (dual of [(261, 8), 1887, 42]-NRT-code)	[i]
6	Linear OOA(2²⁰², 261, F₂, 8, 41) (dual of [(261, 8), 1886, 42]-NRT-code)	[i]
7	Linear OOA(2²⁰³, 261, F₂, 8, 41) (dual of [(261, 8), 1885, 42]-NRT-code)	[i]