MinT - Information on Result #2537690

Information on Result #2537690

Linear OOA(5³⁹, 72, F₅, 2, 18) (dual of [(72, 2), 105, 19]-NRT-code), using 5¹ times duplication based on linear OOA(5³⁸, 72, F₅, 2, 18) (dual of [(72, 2), 106, 19]-NRT-code), using

extracting embedded OOA [i] based on digital (20, 38, 72)-net over F₅, using
- trace code for nets [i] based on digital (1, 19, 36)-net over F₂₅, using
  - net from sequence [i] based on digital (1, 35)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 1 and N(F) ≥ 36, using
      - sharp bound on the number of rational points on curves with genus 1 [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(5³⁹, 72, F₅, 3, 18) (dual of [(72, 3), 177, 19]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound