MinT - Information on Result #2538112

Information on Result #2538112

Linear OOA(7⁴⁵, 156, F₇, 2, 20) (dual of [(156, 2), 267, 21]-NRT-code), using 7¹ times duplication based on linear OOA(7⁴⁴, 156, F₇, 2, 20) (dual of [(156, 2), 268, 21]-NRT-code), using

extracting embedded OOA [i] based on digital (24, 44, 156)-net over F₇, using
- trace code for nets [i] based on digital (2, 22, 78)-net over F₄₉, using
  - net from sequence [i] based on digital (2, 77)-sequence over F₄₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, using
      - sharp bound on the number of rational points on curves with genus 2 [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(7⁴⁵, 154, F₇, 3, 20) (dual of [(154, 3), 417, 21]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound