MinT - Information on Result #2686933

Information on Result #2686933

Linear OOA(4⁵⁴, 241, F₄, 3, 16) (dual of [(241, 3), 669, 17]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4⁵¹, 240, F₄, 3, 16) (dual of [(240, 3), 669, 17]-NRT-code), using

extracting embedded OOA [i] based on digital (35, 51, 240)-net over F₄, using
- trace code for nets [i] based on digital (1, 17, 80)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [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(4⁵⁵, 241, F₄, 3, 16) (dual of [(241, 3), 668, 17]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4⁵⁶, 241, F₄, 3, 16) (dual of [(241, 3), 667, 17]-NRT-code)	[i]		OOA Duplication