MinT - Information on Result #2537705

Information on Result #2537705

Linear OOA(5⁵¹, 112, F₅, 2, 22) (dual of [(112, 2), 173, 23]-NRT-code), using 5¹ times duplication based on linear OOA(5⁵⁰, 112, F₅, 2, 22) (dual of [(112, 2), 174, 23]-NRT-code), using

extracting embedded OOA [i] based on digital (28, 50, 112)-net over F₅, using
- trace code for nets [i] based on digital (3, 25, 56)-net over F₂₅, using
  - net from sequence [i] based on digital (3, 55)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 56, using
      - fields by Serre with genus 3 or 4 [i]

Mode: 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(5⁵¹, 112, F₅, 3, 22) (dual of [(112, 3), 285, 23]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound