MinT - Information on Result #2538179

Information on Result #2538179

Linear OOA(7⁶⁵, 156, F₇, 2, 30) (dual of [(156, 2), 247, 31]-NRT-code), using 7¹ times duplication based on linear OOA(7⁶⁴, 156, F₇, 2, 30) (dual of [(156, 2), 248, 31]-NRT-code), using

extracting embedded OOA [i] based on digital (34, 64, 156)-net over F₇, using
- trace code for nets [i] based on digital (2, 32, 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(7⁶⁵, 155, F₇, 3, 30) (dual of [(155, 3), 400, 31]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound