MinT - Information on Result #2670536

Information on Result #2670536

Linear OOA(2²⁴⁷, 265, F₂, 3, 52) (dual of [(265, 3), 548, 53]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(2²³², 260, F₂, 3, 52) (dual of [(260, 3), 548, 53]-NRT-code), using

extracting embedded OOA [i] based on digital (180, 232, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 58, 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		This result only	Method
1	Linear OOA(2²⁴⁸, 265, F₂, 3, 52) (dual of [(265, 3), 547, 53]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁴⁹, 265, F₂, 3, 52) (dual of [(265, 3), 546, 53]-NRT-code)	[i]		OOA Duplication