MinT - Information on Result #2963465

Information on Result #2963465

Linear OOA(2²²⁶, 262, F₂, 7, 47) (dual of [(262, 7), 1608, 48]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2²¹², 260, F₂, 7, 47) (dual of [(260, 7), 1608, 48]-NRT-code), using

extracting embedded OOA [i] based on digital (165, 212, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 53, 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(2²²⁷, 262, F₂, 7, 47) (dual of [(262, 7), 1607, 48]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²²⁸, 262, F₂, 7, 47) (dual of [(262, 7), 1606, 48]-NRT-code)	[i]
3	Linear OOA(2²²⁹, 262, F₂, 7, 47) (dual of [(262, 7), 1605, 48]-NRT-code)	[i]
4	Linear OOA(2²³⁰, 262, F₂, 7, 47) (dual of [(262, 7), 1604, 48]-NRT-code)	[i]
5	Linear OOA(2²³¹, 262, F₂, 7, 47) (dual of [(262, 7), 1603, 48]-NRT-code)	[i]
6	Linear OOA(2²³², 262, F₂, 7, 47) (dual of [(262, 7), 1602, 48]-NRT-code)	[i]