MinT - Information on Result #2963564

Information on Result #2963564

Linear OOA(2²³⁰, 262, F₂, 7, 48) (dual of [(262, 7), 1604, 49]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2²¹⁶, 260, F₂, 7, 48) (dual of [(260, 7), 1604, 49]-NRT-code), using

extracting embedded OOA [i] based on digital (168, 216, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 54, 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(2²³¹, 262, F₂, 7, 48) (dual of [(262, 7), 1603, 49]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²³², 262, F₂, 7, 48) (dual of [(262, 7), 1602, 49]-NRT-code)	[i]
3	Linear OOA(2²³³, 262, F₂, 7, 48) (dual of [(262, 7), 1601, 49]-NRT-code)	[i]
4	Linear OOA(2²³⁴, 262, F₂, 7, 48) (dual of [(262, 7), 1600, 49]-NRT-code)	[i]
5	Linear OOA(2²³⁵, 262, F₂, 7, 48) (dual of [(262, 7), 1599, 49]-NRT-code)	[i]
6	Linear OOA(2²³⁶, 262, F₂, 7, 48) (dual of [(262, 7), 1598, 49]-NRT-code)	[i]